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The number of integral values of p for which  and  are linearly dependent vectors is/are
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of integral values ofp for whichandare linearly dependent v...
Three vectors are linearly dependent if they are coplanar. So, from the condition of coplanarity of three vectors, we get,


Expanding the above through C1, we get,
2(p − 1)(p + 4 + (p + 3)2) = 0
(p − 1)(p2 + 7p + 13) = 0
The roots of p2 + 7p + 13 = 0 are imaginary.
The number of integral values of p is one.
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The number of integral values ofp for whichandare linearly dependent vectors is/area)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
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