Question:

The dot product of a vector with the vectors i+ j-3 k, i+3 j-2 k, 2 i+ j+4 k are 0,5 and 8 respectively. The vector is

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Test options directly when dot products are specified.
Updated On: Mar 19, 2026
  • i+2 j+ k
  • - i+3 j-2 k
  • i+2 j+3 k
  • i-3 j-3 k
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The Correct Option is A

Solution and Explanation

Let a=(1,2,1). a·(1,1,-3)=1+2-3=0 a·(1,3,-2)=1+6-2=5 a·(2,1,4)=2+2+4=8 Hence, the vector is i+2 j+ k.
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