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Q.

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

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a

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

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 A.

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Detailed Solution

Given |A| = 2 and |B| = 4(p) A.B = ABcosθ = 0 ⇒ 2×4 cosθ = 0⇒cosθ = 0 =cos900   ⇒ θ = 900Thus, option (p) matches with option (ii).(q) A.B = AB cosθ = 8 ⇒2×4 cosθ = 8⇒cosθ = 1   = cos00   ⇒ θ = 00Thus, option (q) matches with option (i),r)  A.B = AB cosθ = 4 ⇒2×4cosθ = 4⇒cosθ = 12  = cos600   ⇒θ = 600Thus, option r) matches with option (iv).(s). A.B = ABcosθ = -8  ⇒ 2×4cosθ = -8⇒         cosθ = -1 = cos[1800]    ⇒θ = 1800Thus, option (s) matches with option (iii).
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