Let A¯ is a vector perpendicular to both vectors 2j¯+3k¯ and 4j¯−3k¯ then the angle between A¯and j¯−2k¯ is

p−1=(2J−+3k−)×(4J−−3k−) |l−j−k−02304−3| i−(−6−12)=−18i− This is perpendicular to the given vector

Let A¯ is a vector perpendicular to both vectors 2j¯+3k¯ and 4j¯−3k¯ then the angle between A¯and j¯−2k¯ is

p−1=(2J−+3k−)×(4J−−3k−) |l−j−k−02304−3| i−(−6−12)=−18i− This is perpendicular to the given vector

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Let $\bar{A}$ is a vector perpendicular to both vectors $2 \bar{j} + 3 \bar{k}$ and $4 \bar{j} - 3 \bar{k}$ then the angle between $\bar{A}$ and $\bar{j} - 2 \bar{k}$ is

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$\frac{π}{4}$

$\frac{π}{6}$

$\frac{π}{2}$

answer is A.

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${\bar{p}}_{1} = (2 \bar{J} + 3 \bar{k}) \times (4 \bar{J} - 3 \bar{k}) | \begin{matrix} \bar{l} & \bar{j} & \bar{k} \\ 0 & 2 & 3 \\ 0 & 4 & - 3 \end{matrix} | \bar{i} (- 6 - 12) = - 18 \bar{i}$

This is perpendicular to the given vector

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Let A¯ is a vector perpendicular to both vectors 2j¯+3k¯ and 4j¯−3k¯ then the angle between A¯and j¯−2k¯ is

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Let $\bar{A}$ is a vector perpendicular to both vectors $2 \bar{j} + 3 \bar{k}$ and $4 \bar{j} - 3 \bar{k}$ then the angle between $\bar{A}$ and $\bar{j} - 2 \bar{k}$ is