it is placed at the tip of the first vector
The name of the method basically says it all. You connect the tail of one vector with the tip of the previously-placed vector.
x² + x² = 2x²
It is a polynomial expression in x. What about it?
You cannot have a simultaneous equation: you must have 2 or more equations for there to be any simultaneity.The simplest method to solve them is to invert the matrix of coefficients but this requires you to know matrix algebra and the question suggests tha you are not that advanced.In that case, express any one of the variables in terms of the other two. Substitute the resulting expression in the other equation(s). Repeat until you have only one variable. Find its value and substitute in the previous equation. That will then enable you to find a second variable. And so on.
The difference between a fixed second mortgage and one with a variable rate is that fixed second mortgage has a fixed rate and is commonly thought of as safer than a mortgage with a variable rate.
Recital or performance a second time; repetition.
it depends on the method of subtraction. If the vectors are drawn graphically then you must add the negative of the second vector (same magnitude, different direction) tail to tip with the first vector. If the drawing is to scale, then the resultant vector is the difference. If you are subtracting two vectors <x1, y1> - <x2, y2> then you can subtract them component by component just like scalars. The same rules apply to 3-dimensional vectors
actually it represents the concavity or convexity of a curve
You could draw a circle [center at origin] with radius of (a + b), for the two magnitudes a and b. This represents the sum of the magnitudes. Then draw one of the vectors starting at the origin [suppose it's vector a], and then draw a circle centered at the endpoint of vector a, with a radius of b. Drawing a circle demonstrates how the second vector can point in any direction relative to the first vector. The distance from the origin to a point on this second circle is the magnitude of the resultant vector. Graphically this second circle will be entirely inside the first circle and touching it at just one point. Since it lies within the first circle, the distance from the origin to a point on that circle will be less than or equal to the radius of the first circle.
we can add vectors by head to tail rule.THe head of first vector to the tell of second vector.And for the resultant vector we can add the tail of first vector to the head of second vector. we can add more than three vectors to give a resultant is equal to zero by joining head to tail rule as to form polygan .
It depends on what the second method is!
1
It depends on what the second method is!
If the two vectors are directly opposite each other, then subtract the smaller one from the larger one and that will be your resultant force. For example, if the force downwards is 5 N and the force upwards is 2 N, the resultant force is 3 N downwards. If the one or both of the two vectors are angled, you need to replace the angled vectors with two right-angled vectors and then add those to create the resultant vectors.
Position is a vector. Therefore, its first derivative with respect to time (velocity), and its second derivative with respect to time (acceleration) are also vectors.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
You can do it graphically by drawing the vectors with the end of the first touching the beginning of the second, the end of the second touching the beginning of the third, and so on, being careful to maintain the direction and the scale of the magnitude of each. The resultant is then the vector that starts at the beginning of the first vector and ends at the end of the last vector. You should get the same resultant no matter what order you put the vectors in. You can do it matematically by trigonometrically separating each vector into its x and y components, adding together all the x's and adding together all the y's, then calculating the resultant. Think of each vector as the hypotenuse of a right triangle. After adding together the x's and y's, the two sums are the two sides of a right triangle whose hypotenuse is the resultant.