Two vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→, and (d) the component ofa→along the direction ofb→?

What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of B on A, and the cosine of the angle between A and B.

Find the angle between vectors for the following. (Enter the smallest positive angle for each in degrees.) (a)D = (−5.0î − 8.0ĵ) m and A = (−8.0î + 8.0ĵ) m   (b)C = (4.0î − 6.0ĵ + ) m and B = (−8.0î + 9.0ĵ + 8.0) m   If D = (5.00î − 3.00ĵ) m, B = (−6.00î + 4.00ĵ) m and A = (16.0î − 12.0ĵ) m, find the unknown constants a and b such that aD + bB + A = 0. a= b=

Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the two vectors T and D is

Find the angle between the following pair of vectors;  A=-4.00i + 2.00j and B = 7.00i + 14.00j

Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i, j  and k are unit vectors:

Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that axis. Find angle θ for avector that has these components: Ax = 2.00 m, Ay = 1.00 m

Two points are given in polar coordinates by  (r, θ) = (1.80 m, 50.0°)  and  (r, θ) = (4.00 m, −40.0°) , respectively. What is the distance between them?

Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗ =3.00i^+1.00j^−3.00k^B→=3.00i^+1.00j^−3.00k^. Obtain a unit vector perpendicular to these two vectors. Express your answer as a unit vector N^N^N_unit in the form NxNxN_x, NyNyN_y, NzNzN_z where the x, y, and z components are separated by commas.