Question
Three vectors $\vec{A}, \vec{B}, \vec{C}$ satisfy the relation $\vec{A} \cdot \vec{B}=0$ and $\vec{A} \cdot \vec{C}=0 .$ The vector $\vec{A}$ is parallel toa. $\vec{B}$b. $\vec{C}$c. $\vec{B} \cdot \vec{C}$d. $\vec{B} \times \vec{C}$
Step 1
Step 1: Given that $\vec{A} \cdot \vec{B}=0$ and $\vec{A} \cdot \vec{C}=0$, this implies that vector $\vec{A}$ is perpendicular to both $\vec{B}$ and $\vec{C}$. Show more…
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Three vectors satisfy the relation $\vec{A} \cdot \vec{B}=0$ and $\vec{A} \cdot \vec{C}=0$, then $\vec{A}$ is parallel to (A) $\vec{C}$ (B) $\vec{B}$ (C) $\vec{B} \times \vec{C}$ (D) $\vec{B} \cdot \vec{C}$
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Round 1
If $a, \bar{b}, \bar{c}$ are three vectors $(\bar{a}-\bar{b}) \times(\bar{a}-\bar{b}-\bar{c}) \cdot(\bar{a}+2 \bar{b}-\bar{c})$ is equal to (a) $-\left[\begin{array}{lll}a & \bar{b} & \bar{c}\end{array}\right]$ (b) $\left[\begin{array}{lll}- & \bar{b} & \bar{c}\end{array}\right]$ (c) $2\left[\begin{array}{lll}a & \bar{b} & \bar{c}\end{array}\right]$ (d) $3\left[\begin{array}{l}\bar{a} \overline{\mathrm{b}} \overline{\mathrm{c}}]\end{array}\right]$
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