Question

Given m with arrow = 6 î + 2 ĵ − 3 k and n with arrow = 5 î − 2 ĵ − 3 k, calculate the vector product m with arrow ✕ n with arrow.

Answer 1

A= 5 i â’ 3 J and B = â’i â’ 6 j A+ B =5 i â’ 3 j â’i â’ 6 j = 4 i - 9 j ---answer A - B = 5 i â’ 3 j + i + 6 j = 6 i + 3j ---answer |A+B| = sq root [ 16 + 81] = 9.848 ---answer |A - B| = sq root [ 36 + 9] = 6.708 ---answer directions of A+ B = tan (-1) -9 /4 = - 66 deg --answer direction of A- B = tan (-1) 3 /6 = 26.56 deg --answer