Theory of Intelligence
11TH•Mathematics•Vectors In Space•Exercise 14.3

14.3 Cross Product or Vector Product

quizQuestion 1 of 6
Q1

Question 1

Compute the cross product a×b\mathbf{a} \times \mathbf{b} and b×a\mathbf{b} \times \mathbf{a}. Check your answer by showing that each a\mathbf{a} and b\mathbf{b} are perpendicular to a×b\mathbf{a} \times \mathbf{b} and b×a\mathbf{b} \times \mathbf{a}.

Select Part:Part (i) of 4
(i)

a=2i+j−k\mathbf{a} = 2\mathbf{i} + \mathbf{j} - \mathbf{k}, b=i−j+k\mathbf{b} = \mathbf{i} - \mathbf{j} + \mathbf{k}

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Step-by-Step Solution

Question 1 • Part (i)

verifiedVerified Answer

(i)

a=2i+j−k\mathbf{a} = 2\mathbf{i} + \mathbf{j} - \mathbf{k}, b=i−j+k\mathbf{b} = \mathbf{i} - \mathbf{j} + \mathbf{k}

Solution

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