Question

Find the sum of the following vectors: \[\overrightarrow{a} = \hat{i} - 2 \hat{j} , \overrightarrow{b} = 2 \hat{i} - 3 \hat{j} , \overrightarrow{c} = 2 \hat{i} + 3 \hat{k} .\]

Answer 1

Given \[\overrightarrow{a} = \hat{i} - 2 \hat{j} , \overrightarrow{b} = 2 \hat{i} - 3 \hat{j} , \overrightarrow{c} = 2 \hat{i} + 3 \hat{k} .\]
So, Sum of the three vectors = \[\overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = \hat{i} - 2 \hat{j} + 2 \hat{i} - 3 \hat{j} + 2 \hat{i} + 3 \hat{k}\]
= \[5 \hat{i} - 5 \hat{j} + 3 \hat{k}\]