Question

Given \( \overrightarrow{ P }=3 \hat{\jmath}+4 \hat{ k } \) and \( \overrightarrow{ Q }=2 \hat{\imath}+5 \hat{k} \). The magnitude of the scalar product of these vectors is

Answer 1

Given \(\vec P = 3\hat j + 4 \hat k\)

\(\vec Q = 2\hat i + 5\hat k\)

Magnitude of scaler product = \(\vec P. \vec Q\)

\(= (3\hat j + 4\hat k) (2\hat i + 5\hat k)\)

\(= 20\)