If two vectors and the value of their attainment are equal, what

1.	If two vectors and the value of their attainment are equal, what is the angle between the two vectors?correct answer will be 120°.
Answer» Answer : Two vectors and their resultant have same magnitude. We have to find angle between both vectors $.$ ★ By triangle law or parallelogram law of vector addition, the magnitude of resultant R at two vectors A and B inclined to each other at angle θ, is GIVEN by R² = A² + B² + 2AB cosθ Let magnitude of both vectors be X. ATQ, resultant also have same magnitude. R = A = B = x By substituting the values, we get ➝ x² = x² + x² + 2(x)(x) cosθ ➝ x² = 2x² + 2x² cosθ ➝ -x² = 2x² cosθ ➝ cosθ = -x²/2x² ➝ cosθ = -1/2 ➝ θ = cos‾¹ (-1/2) ➝ θ = 120°

If two vectors and the value of their attainment are equal, what is the angle between the two vectors?correct answer will be 120°.

Answer»

Answer :

Two vectors and their resultant have same magnitude.

We have to find angle between both vectors $.$

★ By triangle law or parallelogram law of vector addition, the magnitude of resultant R at two vectors A and B inclined to each other at angle θ, is GIVEN by

R² = A² + B² + 2AB cosθ

Let magnitude of both vectors be X.

ATQ, resultant also have same magnitude.

R = A = B = x

By substituting the values, we get

➝ x² = x² + x² + 2(x)(x) cosθ

➝ x² = 2x² + 2x² cosθ

➝ -x² = 2x² cosθ

➝ cosθ = -x²/2x²

➝ cosθ = -1/2

➝ θ = cos‾¹ (-1/2)

➝ θ = 120°

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If two vectors and the value of their attainment ​​are equal, what is the angle between the two vectors?correct answer will be 120°. ​

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If two vectors and the value of their attainment are equal, what is the angle between the two vectors?correct answer will be 120°.