Question

The coordinates of two points A and B are given by (2, 4, 4) and (-2, -3, 7). The magnitude of vector AB is:
A) √50
B) √62
C) √74
D) √91
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Answer 1

D)√74

Explanation:

AB= B-A

AB=(-2-2)i+(-3-4)j+(7-4)k

AB= -4i -7j +3k

|AB| = √{(-4)² +(-7)² +(3)²

|AB| =√74