Consider the two vectors A =3i^ - 2j^ + k^ and H = i^ + j^ + k^. Calculate A . B

Question

Consider the two vectors A =3i^ - 2j^ + k^ and H = i^ + j^ + k^. Calculate A . B. A i^, A . j^ and A . k^. Calculate the angle between the vectors A and B of Problem 2.79. Calculate the unit vector n along the line ON, and determine the projection of vector F onto this line. (See Figure P2.81.) Let A = 4i^ - j^ + k^ and B^ = -i^ + Bj^ + 3k^, where is unknown. Determine Ii, such that the vector B is orthogonal to A. Consider the vector R = -i^ + 3j^. and compute the component of R in the direction of the line V and a second component perpendicular to the line V.

Explanation / Answer

here for orthogonal A.B = 0 -4 - B + 3 = 0 B = -1

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