First slide

Scalars and Vectors

Question

If a and b are two units vectors inclined at an angle of $60 °$ to each other, then

Moderate

A

|a+b|>1
B

$| a + b | < 1$
C

$| a - b | > 1$
D

$| a - b | < 1$

Solution

$| a + b | = 2 A \cos \frac{θ}{2} = (2) (1) \cos 30 ° = \sqrt{3}$
$| a - b | = 2 A \cos \frac{θ}{2} = (2) (1) \cos 30 ° = 1$

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