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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Let θ be the angle between two vectors $\vec a$ and $\vec b$. Then match List-I with List-II

List-I

List-II

(A) $\sin θ$

(I) $\frac{\vec a.\vec b}{|\vec a||\vec b|}$

(B) $\cos θ$

(II) $|\vec a×\vec b|$

(C) Area of the parallelogram with adjacent sides represented by $\vec a$ and $\vec b$

(III) $\frac{\vec a.\vec b}{|\vec a|}$

(D) Projection of $\vec a$ on $\vec b$

(IV) $\frac{|\vec a×\vec b|}{|\vec a||\vec b|}$

Choose the correct answer from the options given below:

Options:

(A)-(IV), (B)-(I), (C)-(II), (D)-(III)

(A)-(I), (B)-(IV), (C)-(II), (D)-(III)

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

(A)-(I), (B)-(IV), (C)-(III), (D)-(II)

Correct Answer:

(A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Explanation:

The correct answer is Option (1) → (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

List-I

List-II

(A) $\sin θ$

(IV) $\frac{|\vec a×\vec b|}{|\vec a||\vec b|}$

(B) $\cos θ$

(I) $\frac{\vec a.\vec b}{|\vec a||\vec b|}$

(C) Area of the parallelogram with adjacent sides represented by $\vec a$ and $\vec b$

(II) $|\vec a×\vec b|$

(D) Projection of $\vec a$ on $\vec b$

(III) $\frac{\vec a.\vec b}{|\vec a|}$

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