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Q.

If |A| = 2   and  |B|  = 4, then match the relations in Column I with the angle θ between A and B in Column II.Mark the correct choice from the given codes.Codes

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a

p-ii, q-iii, r-i, s-iv

b

p-iv,  q-iii,r- i, s-ii

c

p-i, q-iii, r-iv, s-ii

d

p-iii, q-iv, r-i, s-ii

answer is B.

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Detailed Solution

Given |A| = 2  and  |B| = 4(p)  |A→×B→| = ABsinθ = 0⇒2×4×sinθ = 0⇒sinθ = 0 = sin00    ⇒θ = 900Hence, option (p) matches with option (iv).(q) |A→×B→| = ABsinθ = 8⇒ 2×4 sinθ = 8⇒sinθ = 1 = sin900    ⇒θ = 900Hence, option (q) matches with option(iii)r. |A→×B→| = ABsinθ = 4  ⇒ 2×4sinθ = 4sinθ = 12 = sin300  ⇒θ = 300Hence, option r matches with option (i)(s). |A→×B→|  = ABsinθ =42⇒ 2×4 sinθ = 42⇒sinθ = 12 = sin450   ⇒θ = 450Hence, option(s) matches with option (ii)
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