Given M = 5 i + 5 j - 5 k and N = i - 3j - 6 k, calculate the vector product M x N.?

Question

Given M = 5 i + 5 j - 5 k and N = i - 3j - 6 k, calculate the vector product M x N.

____ i + ____ j + ____ k

answer and process please

Answer 1

Suppose you have 2 vectors in 3-space:

(Mx, My, Mz) and

(Nx, Ny, Nz)

Then the cross product vector (Cx, Cy, Cz) is calculated by

    Cx = MyNz − MzNy

    Cy = MzNx − MxNz

    Cz = MxNy − MyNx

In your case M = (5, 5, -5) , and N = (1, -3, -6)

Following the formula above,

Cx = 5*-6 - -5*-3 = -30 - 15 = -45

So the first component of your answer is -45 i .  Can you take it from there?

Note: the form of __i + __j + __k is just another style of notation

Source(s): https://www.mathsisfun.com/algebra/vectors-cross-p...