Projection of vector $\vec A$ on $\vec B$ is
$\mathop A\limits^ \to .\mathop B\limits^ \to $
$\mathop A\limits^ \to .\hat B$
$\mathop B\limits^ \to .\mathop A\limits^ \to $
$\hat A.\hat B$
Vectors $a \hat{i}+b \hat{j}+\hat{k}$ and $2 \hat{i}-3 \hat{j}+4 \hat{k}$ are perpendicular to each other when $3 a+2 b=7$, the ratio of a to $b$ is $\frac{x}{2}$. The value of $x$ is $..............$
Consider two vectors ${\overrightarrow F _1} = 2\hat i + 5\hat k$ and ${\overrightarrow F _2} = 3\hat j + 4\hat k.$ The magnitude of the scalar product of these vectors is