Which of the following is not true about vectors $\vec{A}, \vec{B}$ and $\vec{C}$?

  • A
    $(\vec{A} \cdot \vec{A})(\vec{B} \cdot \vec{C})$ is a scalar value.
  • B
    $(\vec{A} \times \vec{B}) \cdot(\vec{B} \times \vec{C})$ is a scalar value.
  • C
    $(\vec{A} \times \vec{C}) \times(\vec{B} \times \vec{C})$ is a scalar value.
  • D
    $\vec{A} \times(\vec{B} \times \vec{C})$ is a vector value.

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Similar Questions

Which of the following statements is true regarding the vector product of two vectors?

If $\overrightarrow{A} = (2\hat{i} + 3\hat{j} - \hat{k}) \; m$ and $\overrightarrow{B} = (\hat{i} + 2\hat{j} + 2\hat{k}) \; m$,the magnitude of the component of vector $\overrightarrow{A}$ along vector $\overrightarrow{B}$ will be $...... \; m$.

If $|\vec{A} \times \vec{B}| = \sqrt{3} \vec{A} \cdot \vec{B}$,then what is the value of $|\vec{A} + \vec{B}|$?

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The two vectors have magnitudes $3$ and $5$. If the angle between them is $60^o$,then the dot product of the two vectors will be:

The value of $(\overrightarrow A + \overrightarrow B ) \times (\overrightarrow A - \overrightarrow B )$ is

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