Question

Find the scalar product and vector products of the two vectors A = 2i - 3j+ 6k and B = i + j - k

Answer 1

Explanation:

Scalar product of A & B

A • B = (2i - 3j + 6k) • (i + j - k)

= 2×1 - 3×1 + 6×-1

= 2 - 3 - 6

= 2 - 9 = -7

Vector product of A & B

| i^ j^ k^ |

A × B = | 2 -3 6 |

| 1 1 -1 |

= i^(3 - 6) - j^(-2 - 6) + k^(2 + 3)

= -3i^ + 8j^ + 5k^