Unit vector parallel to the resultant of vectors $\vec A = 4\hat i - 3\hat j$and $\vec B = 8\hat i + 8\hat j$ will be

  • A

    $\frac{{24\hat i + 5\hat j}}{{13}}$

  • B

    $\frac{{12\hat i + 5\hat j}}{{13}}$

  • C

    $\frac{{6\hat i + 5\hat j}}{{13}}$

  • D

    None of these

Similar Questions

Explain commutative law for vector addition.

The vectors $5i + 8j$ and $2i + 7j$ are added. The magnitude of the sum of these vector is

$\overrightarrow A \, = \,2\widehat i\, + \,3\widehat j + 4\widehat k$ , $\overrightarrow B \, = \widehat {\,i} - \widehat j + \widehat k$, then find their substraction by algebric method.

Prove the associative law of vector addition.

What is the angle between $\overrightarrow P $ and the resultant of $(\overrightarrow P + \overrightarrow Q )$ and $(\overrightarrow P - \overrightarrow Q )$