vector A = 3i + 4j and vector B = 2i - 5j, where i and j are unit vectors along X

Question

\(\vec A = 3\hat{i} + 4\hat{j}\ and \ \vec B = 2\hat{i} - 5\hat{j}\) , where \(\hat{i}\) and \(\hat{j}\) are unit vectors along X and Y-axes respectively.

Determine the value of \(\vec A.\vec B\).

Answer 1

= 6 - 0 + 0 - 20

= -14