If vector A=i+3j+2k and vector B=3i+j+2k then find vector A×vectorB
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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.
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