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What is the magnitude of the vector, 12i – 8j – 24k?

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What is the magnitude of the vector, 12i – 8j – 24k?

(a) 18

(b) 28

(c) 38

(d) 48

I got this question in unit test.

This intriguing question comes from Cartesian Vectors in section Force Vectors of Engineering Mechanics

1 Answer

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Right option is (b) 28

Explanation: 122 + 82 + 242 = 282 . After you get this, the 28 is the magnitude. This is the using of distance formula between two Cartesian points. Considering the point (12, -8, -24) and then calculating the distance from the origin.

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