Question

FIVE STARS AND BRAINLIEST FOR CORRECT ANSWER

Answer 1

For the given vectors $\vec{a}=a_{1}\hat{i}+a_{2}\hat{j}$ and $\vec{b}=b_{1}\hat{i}+b_{2}\hat{j}$

The dot product of vectors a and b is defined as = $\vec{a}.\vec{b}=(a_{1}\times b_{1}+a_{2} \times b_{2})$

So, $\vec{a}.\vec{b} = (4\hat{i}+3\hat{j}). (-4\hat{i}+4\hat{j})$

$\vec{a}.\vec{b}=(4\times(-4)+3 \times4)$

= -16+12

= -4