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Question

A vector a has magnitude 5 units and points north east and another vector b has magnitude 5 units and points north west. Then the magnitude of the vector a-b is?


A

0

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B

52

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C

10

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D

25

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Solution

The correct option is B

52


Explanation for correct option:

Given, a=5,b=5 and angle between them is 90°.

Apply formula for vector subtraction.a-b=a2+b2-2abcosθ.

a-b=52+52-2×5×5×cos90°

a-b=50-0

a-b=52

Hence, correct answer is option B.


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