Let be A Unit Vector And a Non-zero Vector Not Parallel To . The Angles Of The Triangle, Two Of Whose Sides Are Represented By

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Question

Let be a unit vector and a non-zero vector not parallel to . The angles of the triangle, two of whose sides are represented by

diffcult

Solution

Correct option is

π/6, π/3, π/2

We have,

Thus, two sides of the triangle are represented by the vectors

Since is perpendicular to . Therefore, angle between the sides represented by the given vectors is a right angle.

Now,

Thus, the lengths of the sides containing the right angle of the triangle are in the ratio . So, the other two angles are π/6 and π/3.

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