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Statement 1 : Vector $\vec{c} = - 5 \overset{\land}{i} + 7 \overset{\land}{j} + 2 \overset{\land}{k}$ is along the bisector of angle between $\vec{a} = \overset{\land}{i} + 2 \overset{\land}{j} + 2 \overset{\land}{k}$ and $\vec{b} = - 8 \overset{\land}{i} + \overset{\land}{j} - 4 \overset{\land}{k}$
Statement 2 : $\vec{c}$ is equally inclined to $\vec{a}$ and $\vec{b}$

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Statement 1 is false and statement 2 is false.

Statement 1 is true and statement 2 is false

Statement 1 is true and statement 2 is also true.

Statement 1 is false and statement 2 is true

answer is A.

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Detailed Solution

$c = \frac{\overset{⇀}{a}}{|\overset{⇀}{a}|} \pm \frac{\overset{⇀}{b}}{|\overset{⇀}{b}|}$ , use the formula to check the vector $\overset{⇀}{c}$

in general angular bisector is equally inclined to the given two vectors

So both statements are true.

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