First slide

Vectors

Question

Given that A + B + C = 0. Two out of the three vectors are equal in magnitude. The magnitude of the third vector is $\sqrt{2}$ , times that of the either out of the other two. Which of the following can be angle between these vectors ?

Easy

A

45°,48°, 90°
B

45°, 90°, 135°
C

90°, 135°, 135°
D

30°, 60°, 90°

Solution

Let A=B and C = $\sqrt{2}$ A.
Hence, A² +B² =C²
$∴$ Angle between A and B is 90°
From figure angle between B and C is 135° and angle
between C and A is also 135°.

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