Question

Two vectors are given by vec{A} = -4hat{i} + 7hat{j} - 3hat{k} and vec{B} = 8hat{i} - 12hat{j} + 10hat{k}. Evaluate the following quantities. ewline(a) cos^{-1} frac{vec{A} cdot vec{B}}{AB} ewline(b) sin^{-1} frac{vec{A} imes vec{B}}{AB} ewline(c) Which give(s) the angle between the vectors?

          Two vectors are given by vec{A} = -4hat{i} + 7hat{j} - 3hat{k} and vec{B} = 8hat{i} - 12hat{j} + 10hat{k}. Evaluate the following quantities.
ewline(a) cos^{-1} frac{vec{A} cdot vec{B}}{AB}
ewline(b) sin^{-1} frac{vec{A} 	imes vec{B}}{AB}
ewline(c) Which give(s) the angle between the vectors?

$Two vectors are given by vecA = -4hati + 7hatj - 3hatk and vecB = 8hati - 12hatj + 10hatk. Evaluate the following quantities. ewline(a) cos^-1 fracvecA cdot vecBAB ewline(b) sin^-1 fracvecA imes vecBAB ewline(c) Which give(s) the angle between the vectors?$