Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively, and their directions are 304° and 76.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) r and (b) T x 3? (a) Number i -27.03 Units (b) Number i 30.02 Units

The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has magnitude 8.0 m and is in the -z-direction. Vector B has no z-component What is the direction angle 0 of vector B measured from the +y-direction to the +z-direction?

The x and y coordinates of point P are (-8.50 m, -7.00 m). What is the polar angle of point P?

You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that these three vectors are Cartesian unit vectors. To answer this question, you must use the form:  a1i + a2j + a3k  Find a unit vector in the direction of q

Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A dot B). The value of C is:

Consider two vectors A and B such that Ã × B – B (÷ B Find the angle between A and B if ß = 6. O Report your numerical answer below, assuming three significant figures.

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.)                      °

Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ. (a) Find A × B. k (b) Find the angle between A and B.

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. =