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$Let \bar{A} = \bar{i} - 3 \vec{j} + 4 \bar{k}, \bar{B} = 6 \bar{i} + 4 \vec{j} - 8 \vec{k}, \bar{C} = 5 \bar{i} + 2 \bar{j} + 5 \bar{k} and a vector \bar{R} satisfies$
$\bar{R} \times \bar{B} = \bar{C} \times \bar{B}, \bar{R} \cdot \bar{A} = 0 then value of \frac{| \bar{B} |}{| \bar{R} - \bar{C} |} is$

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detailed solution

Correct option is D

R¯×B¯=C¯×B¯⇒A¯×(R¯×B¯)=A¯×(C¯×B¯)⇒A¯.B¯R¯-A¯.R¯B¯=A¯.B¯C¯-A¯.C¯B¯⇒A¯.C¯B¯=A¯.B¯C¯-A¯.B¯R¯=A¯.B¯C¯-R¯ (∵A¯.R¯=0)∴B¯C¯-R¯=A¯.B¯A¯.C¯=3819=2

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Let A¯=i¯−3j→+4k¯,B¯=6i¯+4j→−8k→,C¯=5i¯+2j¯+5k¯ and a vector R¯ satisfies R¯×B¯=C¯×B¯,R¯⋅A¯=0 then value of |B¯||R¯−C¯| is

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