Question

if vector v1=3i^ + 4j^ + k^ and vector v2 = i^ - j^ - -k^ determine the magnitude of vector v1 + vector v2

Answer 1

Hope it would help!!!!!!!!!!

Answer 2

Answer:

The magnitude of the vector will be 5units

Explanation:

In this question,

We have been given that

$v_{1}\ =\ 3\hat{i}+4\hat{j}+\hat{k}$

$v_{2}\ =\ \hat{i}-\hat{j}-\hat{k}$

We need to determine the magnitude of $v_{1}+v_{2}$

According to the Question,

$v_{1}+v_{2}\ =\ (3+1)\hat{i}+(4-1)\hat{j}+(1-1)\hat{k}$

$v_{1}+v_{2}\ =\ 4\hat{i}+3\hat{j}$

To determine the magnitude of $v{_{1}+v_{2}$

$|v_{1}+v_{2}|\ =\ \sqrt{{4}^{2}+{3}^{2}}$

$|v_{1}+v_{2}|\ =\ \sqrt{16+9}$

$|v_{1}+v_{2}|\ =\ \sqrt{25}$

$|v_{1}+v_{2}|\ =\ 5$

Hence, the magnitude of $v_{1}+v{2}$ will be 5 units