Question

Find the unit vectors perpendicular to both vector a and vector b when

(i) vector a = 3i + j - 2k and vector b = 2i + 3j - k

(ii) vector a = i - 2j + 3k and vector b = i + 2j - k

(iii) vector a = i + 3j - 2k and vector b = -i + 3k

(iv) vector a = 4i + 2j - k and vector b = i + 4j - k

Answer 1

(i) Consider vector r as the vector perpendicular to vector (a and b)

So we get

(ii) Consider vector r as the vector perpendicular to vector (a and b)

So we get

(iii) Consider vector r as the vector perpendicular to vector (a and b)

So we get

(iv) Consider vector r as the vector perpendicular to vector (a and b)

So we get