The scalar product of vectors A→ and B→ is +51.0 m2m2 . Vector A→ has magnitude 8.00 mm and direction 28.0 ∘ west of south. If vector B→ has direction 39.0∘ south of east, what is the magnitude of B→?

Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is:  A⨯B = -1.8 m i + 13.8 m k. What is the angle (in degrees) between the vectors A and B?

Vector A→, which is directed along an x axis, is to be added to vector B→, which has a magnitude of 9.30 m. The sum is a third vector that is directed along the y axis, with a magnitude that is 5.10 times that of A→. What is the magnitude of A→?

A vector a of magnitude 17 units and another vector b of magnitude 8.5 units differ in directions by 72°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product a×b.

Two vectors A→ and  B→ are at right angles to each other. The magnitude of  A→ is 1.00. What should be the length of  B→ so that the magnitude of their vector sum is 2.00?

Two vectors have the following magnitude, A = 8.7 m and B = 10.6 m. Their vector product is: A:B = -2.7 m i+ 8.6 m k. What is the angle (in degrees) between the vectors A and B? Hint: Use |A:B| = AB sin(0) Note: Bold face letters represents a vector.

Given the pair of vectors, A = (9.00î − 5.00ĵ ) and B =(−3.00î + 9.00ĵ ),use the definition of a scalar product to determine the following.   (a) the scalar product (b) the angle between the vectors (Enter an answer between 0 and 180 degrees.)                      ° (c) the angle ? between the vector A and the +x axis (Enter an answer between 0 and 180 degrees.)                      ° (d) the angle ? between the vector B and the +y axis (Enter an answer between 0 and 180 degrees.)                      °

Use the definition of scalar product, a = ab cos 0, and the fact that a . the two vectors given by a = 3.01 +3.0 + 3.0k and b Number i Units = axbx + ab + a₂b₂ to calculate the angle between 4.0î + 9.0ĵ + 7.0k. =

If a vector →A→ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: (a) Ax = 8.0 lb, Ay = 6.0 lb, (b) Ax = −24 m/s, Ay = −31 m/s, (c) Ax = −1500 km, Ay = 2000 km, (d) Ax = 71.3 N, Ay = −54.7 N.

What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is understood that A and B are 3 dimensional vectors, and x, y, and z are vectors of length 1 along the x, y, and z axes.      A scalar +12     A scalar +16     A vector perpendicular to both A and B     A vector 6x +32y -14z