Three vectors, A, B, and C, sum to zero. If |A| = 5, |B| = 8, and |C| = 13, what is the angle between vectors A and B?

Vector A has components Ax = 3 and Ay = 4. Vector B has components Bx = -1 and By = 2. What is the magnitude of the resultant vector A + B?

If vector A = 2i + 3j - k and vector B = i - j + 2k, what is the dot product A . B?

A particle moves with a velocity v = (3i + 4j) m/s. What is the magnitude of its velocity?

Two vectors of equal magnitude have a resultant equal to either. The angle between them must be?

Given vectors P = 2i - j + 3k and Q = -i + 5j - 2k, find the cross product P x Q.

A displacement vector has a magnitude of 10 m and makes an angle of 30 degrees with the x-axis. What is the x-component of the vector?

If A = 3i - 2j + k and B = -i + j - 5k, find a unit vector in the direction of A + B.

Two forces, 3N and 4N, act on a body. Which of the following forces CANNOT be the resultant force?

Vector A has a magnitude of 6 and points along the +y axis. Vector B has a magnitude of 8 and points along the +x axis. What is the magnitude of the vector A - B?