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If |A| = 2 and |B| = 4, then match the relations in column-I with the angle θ between A and B in column-II.     

Column-I Column-II
(A) |A×B| =0  (p)  θ=30
(B)|A×B|=8   (q) θ=45
(C) |A×B| =4  (r)  θ=90
(D) |A×B| =42 (s)  θ=0
1. A(s), B(r), C(q), D(p)
2. A(s), B(p), C(r), D(q)
3. A(s), B(p), C(q), D(r)
4. A(s), B(r), C(p), D(q)
 
Hint: Recall vector product.
Step 1: Use |A×B| = ABsinθ and calculate θ in each part.

Given |A| = 2 and |B| = 4

 (a) |A×B|=ABsinθ=02×4×sinθ=0sinθ=0=sin0θ=0 Option (a) matches with option (iv). 

 (b) |A×B|=ABsinθ=82×4sinθ=8sinθ=1=sin90θ=90 Option (b) matches with option (iii). 

 (c) |A×B|=ABsinθ=42×4sinθ=4sinθ=12=sin30θ=30 Option (c) matches with option (i). 

 (d) |A×B|=ABsinθ=422×4sinθ=42sinθ=12=sin45θ=45 Option (d) matches with option (ii).