There are two vectors vec{A} = 6hat{i} + 9hat | vedclass

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(B) Two vectors $\vec{A}$ and $\vec{B}$ have the same direction if they are parallel to each other, which implies $\vec{A} = k\vec{B}$ for some positi

Vedclass · Accepted Answer

$1/3$

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(B) Two vectors $\vec{A}$ and $\vec{B}$ have the same direction if they are parallel to each other, which implies $\vec{A} = k\vec{B}$ for some positive scalar $k$.Given $\vec{A} = 6\hat{i} + 9\hat{j} - \hat{k}$ and $\vec{B} = 2\hat{i} + 3\hat{j} - p\hat{k}$.Comparing the components of $\vec{A}$ and $\vec{B}$:$6 = k(2) \implies k = 3$$9 = k(3) \implies k = 3$$-1 = k(-p) \implies -1 = 3(-p) \implies -1 = -3p$$p = 1/3$Thus, the value of '$p$' is $1/3$.

There are two vectors $\vec{A} = 6\hat{i} + 9\hat{j} - \hat{k}$ and $\vec{B} = 2\hat{i} + 3\hat{j} - p\hat{k}$ which have the same direction. The value of '$p$' is

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