Question

A=2i - 6k,B=4j+2k find r1 =A+B & r2=B-A??

Answer 1

$\huge{\underline{\underline{.........Answer.........}}}$

$\huge{\underline{Given:-}}$

${A = 2 \hat{i} - 6 \hat{k}}$

${B = 4 \hat{j} + 2 \hat{k}}$

$\huge{\underline{Explanation:-}}$

• Case-1

${r_1 = A + B}$

$r_1 = 2 \hat{i} - 6 \hat{k} + 4 \hat{j} + 2 \hat{k}$

$r_1 = 2 \hat{i} + 4 \hat{j} - 4 \hat{k}$

$\boxed{\boxed{r_1 = 2 \hat{i} + 4 \hat{j} - 4 \hat{k}}}$

• Case-2.

${r_2 = B - A }$

$r_2 = 4 \hat{j} + 2 \hat{k} - 2 \hat{i} + \: 6 \hat{k}$

$r_2 = - 2 \hat{i} + 4 \hat{j} + 8 \: \hat{k}$

$\boxed{\boxed{r_2 = - 2 \hat{i} + 4 \hat{j} + 8 \: \hat{k}}}$