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What is the maximum resultant for a 5 unit vector and a 2 unit vector?
Wiki User
∙ 12y ago
Improved Answer: The answer is 7. The max resultant assumes the vectors have the same direction, and so their magnitudes (in this case 5 and 2) simply add together, thus making 7. Hope this helps!
Original Answer: I dont know LOL
Wiki User
∙ 12y ago
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What is the direction of the resulting vector if vector of 2 units North is added to a vector of 2 units South?
4
How will you get the resultant of all vectors?
Graphical Vector AdditionDraw your first vector. Then draw the tail (start) of your second vector at the tip (end) of your first vector. Then draw the tail of your third vector at the tip of you third vector (if it exists,) and so on. To find the resultant, draw a vector from the tail of the first vector to the tip of the last vector. The angle of the resultant will be between the resultant's tail and the first vector's tail. To find these values, it is recommended that you use a scale (e.g. 1cm:1m) and a protractor so that your values are accurate.Or, to do it mathematically (with 2 vectors):You have vector a with angle Ao, and vector b with angle Bo.To get vector c (resultant,) break the vectors up into their x and y components, then add the x and y components to find the x and y of the resultant. To find the magnitude of vector c, use Pythagoras's theorem, a2 + b2 = c2. To find the angle of c, use inverse tangent, tan-1(y/x)Example:Remember that sin = y and cos = x. Thus, to find the x component of a vector, use cos, and to find the y component of a vector, use sin.c = square root( (acosA + bcosB)2 + (asinA + bsinB)2 )angle of c = tan-1( (asinA + bsinB)/(bcosA + bcosB) )
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
What is the method used to solve a resultant vector?
If you mean "What method is used to make a resultant vector into its components?" then the answer is called "resolution" and you can google it for details. If you mean "What method is used to detirmine a resultant vector?" well that one doesn't have a name as far as I know. Basically, you set up a visual representation of the forces and use trigonometry to find the length and direction of the resultant. Now, to find the resultant, you would draw a diagonal line. You can then make a triangle where one side has a length of 6 and the other 8. Because these two sides are at a 90 degree angle, you can use the pythagorean therum (a^2 + b^2 = c^2) to find the diagonal line which is the resultant vector. Hope this helps :) -Angelic Endeavor Minor Edit By Me: I had trouble formatting the pictures, I hope it works this time. Edit 2 By Me: I can't get the visual aid to work so you'll have to use your imagination, sorry. :(
Can three vectors not in one plane give zero resultant?
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
What is the direction of the resulting vector if vector of 2 units North is added to a vector of 2 units South?
4
When 2 vectors are added is the resultant vector a distance or displacement?
The resultant vector of adding two vectors is a displacement vector, not a distance vector. Displacement is a change in position measured from the starting point to the end point, while distance is the total length of the path traveled.
What is the formula for calculating magnitude of resultant vector?
The formula for calculating the magnitude of the resultant vector when adding two vectors is: magnitude = sqrt((vector1 magnitude)^2 + (vector2 magnitude)^2 + 2 * vector1 magnitude * vector2 magnitude * cos(theta)) where theta is the angle between the two vectors.
What is the equation for resultant velocity?
The equation for resultant velocity is the vector sum of the individual velocities. It can be calculated using the Pythagorean theorem in two dimensions, or by combining the x and y components of velocity using vector addition. Mathematically, it is represented as: v(resultant) = sqrt[(v1)^2 + (v2)^2 + 2v1v2cos(theta)]
Formula to calculate magnitude of the resultant vector?
To calculate the magnitude of the resultant vector, you can use the Pythagorean theorem. Square the x-component of the vector, square the y-component of the vector, and sum them together. Finally, take the square root of the resulting sum. The formula is: |R| = sqrt((Rx^2) + (Ry^2)).
Prove that the unit vector is dimenssionless?
The unit vector is the ratio of the vector and its magnitude, thus : R/r = (Ix + Jy + Kz)/r where r= Sqroot(x^2 + y^2 + z^2). Units of the vector and the magnitude are the same thus divide out and the unit vector is dimensionless.
How will you get the resultant of all vectors?
Graphical Vector AdditionDraw your first vector. Then draw the tail (start) of your second vector at the tip (end) of your first vector. Then draw the tail of your third vector at the tip of you third vector (if it exists,) and so on. To find the resultant, draw a vector from the tail of the first vector to the tip of the last vector. The angle of the resultant will be between the resultant's tail and the first vector's tail. To find these values, it is recommended that you use a scale (e.g. 1cm:1m) and a protractor so that your values are accurate.Or, to do it mathematically (with 2 vectors):You have vector a with angle Ao, and vector b with angle Bo.To get vector c (resultant,) break the vectors up into their x and y components, then add the x and y components to find the x and y of the resultant. To find the magnitude of vector c, use Pythagoras's theorem, a2 + b2 = c2. To find the angle of c, use inverse tangent, tan-1(y/x)Example:Remember that sin = y and cos = x. Thus, to find the x component of a vector, use cos, and to find the y component of a vector, use sin.c = square root( (acosA + bcosB)2 + (asinA + bsinB)2 )angle of c = tan-1( (asinA + bsinB)/(bcosA + bcosB) )
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
When are magnitudes of 2 vectors added?
The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.
What are the 5 steps in adding vectors using the polygon method?
Draw the vectors to scale with their tails starting at the same point. Complete the polygon by drawing lines connecting the head of each vector in order. The resultant vector is the line from the starting point to the end of the final vector. The magnitude and direction of this resultant vector can be calculated using trigonometry.
What is the sum of 2 or more vectors called?
The sum of 2 or more vectors is called the resultant vector. It is the single vector that represents the combined effect of all the individual vectors added together.
When 2 forces act on an object in the same directions the resultant force is equal to the?
vector sum of the two forces.
