Question

if vectors A=i+3j+2k and B=3i+j+2k then find the value of A*B

Answer 1

Answer ⇒ A × B = 4i + 4j - 8k

Explanation ⇒ Given,

A = i + 3j + 2k

B = 3i + j + 2k

A × B = i(3×2 - 2 × 1) -j(1×2 - 2×3) + k(1×1 - 3×3)

∴ A × B = i(6 - 2) - j(2 - 6) + k(1 - 9)

∴ A × B = 4i + 4j - 8k

This is the required cross product of A vector with B vector.

Hope it helps.

Answer 2

Explanation ⇒ Given,

A = i + 3j + 2k

B = 3i + j + 2k

A × B = i(3×2 - 2 × 1) -j(1×2 - 2×3) + k(1×1 - 3×3)

∴ A × B = i(6 - 2) - j(2 - 6) + k(1 - 9)

∴ A × B = 4i + 4j - 8k

This is the required cross product of A vector with B vector.