If a and b are two non-zero vectors such that |axb|^2 + |a.b|^2 = 100 and |a| = 5 then the value of |b| is Option 1: 2 Option 2: 4 Option 3: 2sqrt(5) Option 4: 20

The answer is '2'. View full solution:

CUET Mathematics - If a and b are two non-zero vectors such that |axb|^2 + |a.b|^2 = 100 and |a| = 5 then the value of |b| is | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Algebra

Easy

core

$2\sqrt{5}$

✅ Correct Option: 1

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Match List-I with List-II

List-I	List-II
(A) If vector $\vec{a}$ and $\vec{b}$ are such that $\vec{a} = \lambda \vec{b}$ and $\vert \vec{a}\vert = \vert \vec{b}\vert$ , then	(I) $\vec{a}$ and $\vec{b}$ are orthogonal
(B) Projection vector of $\vec{a}$ on $\vec{b}$	(II) $[0, 12]$
(C) $\vec{a}$ and $\vec{b}$ are non-zero vectors such that $\vert \vec{a} + \vec{b}\vert = \vert \vec{a} - \vec{b}\vert$ , then	(III) $\vec{a} = \pm \vec{b}$
(D) If $\vert \vec{a}\vert = 4, -3 \le \lambda \le 2$ , then the range of $\vert \lambda \vec{a}\vert$	(IV) $(\dfrac{\vec{a} \cdot \vec{b}}{\vert \vec{b}\vert ^2}) \vec{b}$

Choose the correct answer from the options given below:

CUET Mathematics 2026 30th May Shift 2 PYQs

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