A ship is traveling 155mph due south .Opposing current 35mph at 20 degrees southwest .
Find resultant magnitude and direction of ship's true course
Divide the vector by it's length (magnitude).
Simply add the two force vectors together and their sum is the resultant force. (4, 8, 4).
Find the volume of the rectangular solid whose length is 3, width is 7x, and height is y. Be sure to include units.
I think it's 12x square.
You would have to get the copy from the book publisher. Otherwise it is necessary to purchase the textbook for your uses.
the resultant magnitude is 2 times the magnitude of F as the two forces are equal, Resultant R= F + F = 2F and the magnitude of 2F is 2F.
7
If their sum (resultant) is 0, then the magnitude of the resultant must be 0.
The magnitude of the resultant force in the case of the concurrent forces in equilibrium.
To find the resultant of 2 vectors, P and Q, let the ray AB represent the vector P. Let AB (not BA) be in the direction of P and let the length of AB represent the magnitude of P. Let BC represent the direction of Q and the length BC represent the magnitude of Q [on the same scale used for P and AB]. Then the straight line AC, which is the diagonal of the parallelogram with sides representing P and Q, is the resultant vector R, with magnitude and direction represented by AC.The vectors P and Q can also be represented as sides AB and AC. In that case you will need to complete the parallelogram and the resultant is represented by the diagonal through A.
resultant
If the angle decreases, the magnitude of the resultant vector increases.
yes
Start with a point O. Draw a line OA in the direction of the first vector and whose length represents the magnitude of that vector (to some scale). From A, draw the line AB in the direction of the second vector and whose length represents the magnitude of that second vector (to the same scale). Then the direction and length of the straight line OB represent the direction and (to the same scale) the magnitude of the resultant vector.
Magnitude? Yes. Simple answer: think of it as a triangle. Can a triangle have three sides of the same length? Yes. Long answer: there really isn't a long answer. To get the resultant of two vectors, one would add up the components of each vector. While it is impossible to add two vectors of the same magnitude and derive a resultant of the same magnitude AND DIRECTION as one of the vectors, one need only to create a directional difference of exactly 60 degrees between the first two vectors to result in a resultant of like magnitude. Math really is the most perfect language. Vectors are to triangles what optics are to to the study of conics!
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a