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Q.

Statement I : If A→.B→ = B→.C→ , then A→ may not always be equal to C→Statement II : The dot product of two vectors involves cosine of the angle between the two vectors.

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a

If both statement I and statement II are true and statement II is the correct explanation of statement I.

b

If both statement I and statement II are true but statement II is not the correct explanation of statement I.

c

If statement I is true but statement II is false.

d

If both statement I and statement II are false.

answer is A.

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Detailed Solution

A→.B→ = B→.C→ ⇒ ABcosθ1 = BC cosθ2 ∴ A = C, only when θ1 = θ2So when angle between A→ and B→ is equal to angle between B→ and C→ only when A→ equal to C→.

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