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Q.

Find a vector x→  which is perpendicular to both A→  and B→ but has magnitude equal to that ofB→ . Rule: Inter change coeff. Of i^ and j^  and change sign of one of the vectors,A→= 3i^−2j^+k^,B→=4i^+3j^−2k^

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a

110(i^+10j^+17k^)

b

110 (i^−10j^+17k^)

c

29390  (i^−10j^+17k^)

d

29390(i^+10j^+17k^)

answer is D.

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Detailed Solution

B→=42+32+(-2)2=29A→×B→=  |i^j^k^3−2143−2| =i^[(4-3)-j^-6-4+k^9+8A→×B→=12+102+172=390n→=  A→×B→|A→×B→|=  i^+10j^+17k^390x→=  |B→|n^=  29(i^+10j^+17k^)390
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