Question

A vector has an initial point (2, −1, 3) and a terminal point (5, 3, 7).

What is the magnitude of the vector?

Responses

11−−√
square root of 11

29−−√
square root of 29

41−−√
square root of 41

52−−√

Answer 1

Vector = (5-2, 3-(-1), 7-3) = (3, 4, 4). Magnitude = sqrt(3^2 + 4^2 + 4^2) = sqrt(9+16+16) = sqrt(41).

Answer: square root of 41 (√41).