Suppose ll = (3, 3) and V = (-3, -9) are two vectors that form the sides of a pa

Question

Suppose ll = (3, 3) and V = (-3, -9) are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are Two force, represented by the vectors F ^rightarrow_1 = -8i ^rightarrow + 4^rightarrow and F ^rightarrow_2 = -4i^rightarrow + 9j^rightarrow are acting on an object. Give a vector F^rightarrow_3 representing the force that must be applies to the object if it is to remain stationary Let u = (4, 1) v = (4, 5) and w = (-4, -5). Find the vector x that satisfies 8u -v + x = 10x + w

Explanation / Answer

2. About the second question we need that F1 + F2 + F3 = 0, then F3 = -F1 -F2

So: F1 + F2 = -12i + 13j, then F3 = 12i -13j

4. For the last question: we have a system equation of 2x2, where:

(3-t = s-3t) and (s-t) = -(3+3t). Resolving this system we get: t = 1.5 and s = -6. For the resulting vector: < 1.5, -7.5>

NOTE: Please post the other questions in another post and I will be gladly help you.

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