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Vector Algebra question

2019 · 8 Apr · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 8 Apr · Shift 2 · Q25

Vector Algebra question

2019 · 8 Apr · Shift 2 · Q25

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedge

and

\mathop b\limits^ \to = \mathop i\limits^ \wedge - \mathop j\limits^ \wedge + \mathop k\limits^ \wedge

, for some real x. Then

\left| {\mathop a\limits^ \to \times \mathop b\limits^ \to } \right|

= r is possible if :

A
0 < r < $\sqrt {{3 \over 2}}$
B
$3\sqrt {{3 \over 2}} \lt r \lt 5\sqrt {{3 \over 2}}$
C
$r \ge 5\sqrt {{3 \over 2}}$
D
$\sqrt {{3 \over 2}} \lt r \le 3\sqrt {{3 \over 2}}$

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