90 asked in Science & MathematicsEngineering · 1 month ago

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

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

____ i + ____ j + ____ k

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• 1 month ago

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