Match List I with List II LIST I

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

Match List I with List II

LIST I		LIST II
A.	For any vector $\vec{a}, \vec{a}×\vec{a}$	I.	$\vec{a}^2$
B.	For any vector $\vec{a}, \vec{a}.\vec{a}$	II.	0
C.	If either $\vec{a}=\vec{0}$ or $\vec{b}=\vec{0},$ then $\vec{a}.\vec{b}$ is	III.	$\|\vec{a}\|\|\vec{b}\|$
D.	If the angle between $\vec{a}$ and $\vec{b}$ is $\theta =0, $ then $\vec{a}.\vec{b}$ is	IV.	$\vec{0}$

Choose the

Options:

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

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

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

A-III, B-IV,C-I,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

(A) for $\vec a$, $\vec a×\vec a=a.a\sin 0=\vec 0$ (IV)

(B) $\vec a.\vec a=a^2\cos 0=\vec{a^2}$ (I)

(D) $\vec a.\vec b=ab\cos 0=|\vec a||\vec b|$ (III)