R D Sharma Solutions for Chapter: Vector or Cross Product, Exercise 2: VERY SHORT ANSWER QUESTIONS (VSAQs)

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are unit vectors such that $\overrightarrow{a}\times \overrightarrow{b}$ is also a unit vector, then the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is $k\pi$. Find the value of $k$.

If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two vectors such that $\left|\overrightarrow{a}·\overrightarrow{b}\right|=\left|\overrightarrow{a}\times \overrightarrow{b}\right|,$ then the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is $k\mathrm{\pi }$. Find the value of $k$.

If angle between two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ with magnitudes $1$ and $2$ respectively and when $|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{3}$ is $k\pi$, then the value of $k$ is

Vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are such that $\left|\overrightarrow{a}\right|=\sqrt{3}, \left|\overrightarrow{b}\right|=\frac{2}{3}$ and $(\overrightarrow{a}\times \overrightarrow{b})$ is a unit vector. If the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ is $k\mathrm{\pi }$, then the value of $k$ is

 Find $\lambda$, if $(2\hat{i}+6\hat{j}+14\hat{k})\times (\hat{i}-\lambda \hat{j}+7\hat{k})=\overrightarrow{0}$

Write the value of the area of the parallelogram determined by the vectors $2\hat{i}$ and $3\hat{j}$.

Write the value of $(\hat{i}\times \hat{j})·\hat{k}+(\hat{j}+\hat{k})·\hat{j}$

Write the angle between the vectors $\overrightarrow{a}\times \overrightarrow{b}$ and $\overrightarrow{b}\times \overrightarrow{a}$.