jee-main 2019 Q87

jee-main · India · session2_08apr_shift2 Vectors Introduction & 2D Optimization of a Vector Expression

Let $\vec { a } = 3 \hat { i } + 2 \hat { j } + x \hat { k }$ and $\vec { b } = \hat { i } - \hat { j } + \hat { k }$, for some real $x$. Then the condition for $| \vec { a } \times \vec { b } | = r$ to follow
(1) $0 < r \leq \sqrt { \frac { 3 } { 2 } }$
(2) $r \geq 5 \sqrt { \frac { 3 } { 2 } }$
(3) $\sqrt { \frac { 3 } { 2 } } < r \leq 3 \sqrt { \frac { 3 } { 2 } }$
(4) $3 \sqrt { \frac { 3 } { 2 } } < r < 5 \sqrt { \frac { 3 } { 2 } }$

Let $\vec { a } = 3 \hat { i } + 2 \hat { j } + x \hat { k }$ and $\vec { b } = \hat { i } - \hat { j } + \hat { k }$, for some real $x$. Then the condition for $| \vec { a } \times \vec { b } | = r$ to follow\\
(1) $0 < r \leq \sqrt { \frac { 3 } { 2 } }$\\
(2) $r \geq 5 \sqrt { \frac { 3 } { 2 } }$\\
(3) $\sqrt { \frac { 3 } { 2 } } < r \leq 3 \sqrt { \frac { 3 } { 2 } }$\\
(4) $3 \sqrt { \frac { 3 } { 2 } } < r < 5 \sqrt { \frac { 3 } { 2 } }$

Paper Questions

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