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Statement I : A→ ×B→ is perpendicular to both A→ +B→ as well as A→ −B→Statement II : A→ +B→ as well as A→ −B→ lie in the plane containing A→ and B→, but A→ ×B→ lies perpendicular to the plane containing A→ and B→.

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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

Cross product of two vectors is perpendicular to the plane containing both the vectors.

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Statement I : A→ ×B→ is perpendicular to both A→ +B→ as well as A→ −B→Statement II : A→ +B→ as well as A→ −B→ lie in the plane containing A→ and B→, but A→ ×B→ lies perpendicular to the plane containing A→ and B→.