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Q.

The vectors from origin to the points A and B are A=3i^6j^+2k^   and  B=2i^+j^2k^ respectively. The area of the triangle OAB be

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a

5217   sq.unit

b

2517   sq.unit

c

3517  sq.unit

d

5317   sq.unit

answer is A.

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Detailed Solution

Given OA¯=a¯  =3i^6j^+2k^   and

OB¯=b¯  =2i^+j^2k^   

  a×b=i^j^k^362212

122i^+4+6j^+3+12k^

10i^+10j^+15k^  |a×b|

102+102+152

425 = 517

Area of OAB = =12|a×b|=5172sq.unit.

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The vectors from origin to the points A and B are A→ = 3i^−6j^+2k^   and  B→ = 2i^+j^−2k^ respectively. The area of the triangle OAB be