Question

Given the points M = (8, 4, –3) and N = (–12, 6, –7), find Vector M N. in component form.

Vector M N = LeftAngleBracket 4, negative 10, 10 RightAngleBracket.
Vector M N = LeftAngleBracket negative 4, 10, negative 10 RightAngleBracket.
Vector M N = LeftAngleBracket 20, negative 2, 4 RightAngleBracket.
Vector M N = LeftAngleBracket negative 20, 2, negative 4 RightAngleBracket.

Answer 1

Considering the points M and N, the vector MN is component form is given by:

MN = [-20, 2, -4]

How to find a vector given two end-points?

The vector is given by the subtraction of the coordinates of the endpoint by the coordinates of the start point.

In this problem, for vector MN, we have that:

• The endpoint is N = (–12, 6, –7).

• The start point is M = (8, 4, –3).

Hence:

MN = N - M = [-12 - 8, 6 - 4, -7 - (-3)] = [-20, 2, -4]

More can be learned about vectors at https://brainly.com/question/25706129

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