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

Correct option is 390°, 135°, 135°

Questions

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 ?

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45°,48°, 90°

45°, 90°, 135°

90°, 135°, 135°

30°, 60°, 90°

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detailed solution

Correct option is C

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

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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 ?