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Home Questions YDUN98AYTG
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Match List-I with List-II

Let $θ$ be the angle between the vector $\vec a$ and $\vec b$.

List-I

List-II

(A) $\vec a.\vec b$

(I) $\frac{\vec a.\vec b}{|\vec b|^2}\vec b$

(B) $\vec a×\vec b$

(II) $\vec a.\vec b=0$

(C) Projection vector of $\vec a$ on $\vec b$ (≠0)

(III) $|\vec a||\vec b| \sin θ\hat n$ where $\hat n$ is a unit vector perpendicular to both $\vec a$ and $\vec b$

(D) $\vec a$ and $\vec b$ are orthogonal vectors

(IV) $|\vec a||\vec b| \cos θ$

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → (A)-(IV), (B)-(III), (C)-(I), (D)-(II)

List-I

List-II

(A) $\vec a.\vec b$

(IV) $|\vec a||\vec b| \cos θ$

(B) $\vec a×\vec b$

(III) $|\vec a||\vec b| \sin θ\hat n$ where $\hat n$ is a unit vector perpendicular to both $\vec a$ and $\vec b$

(C) Projection vector of $\vec a$ on $\vec b$ (≠0)

(I) $\frac{\vec a.\vec b}{|\vec b|^2}\vec b$

(D) $\vec a$ and $\vec b$ are orthogonal vectors

(II) $\vec a.\vec b=0$

CUET Questions