Question
If ⃗a=2^i+3^j+^k,⃗b=2^i+p^j+3^k and ⃗c=2^i+17^j+3^k are coplanar vectors, then the value of p is
Answer: Option A
:
A
Since,⃗a=2^i+3^j+^k,⃗b=2^i+p^j+3^k and ⃗c=2^i+17^j+3^k are coplanar,
therefore [⃗a⃗b⃗c]=∣∣
∣∣2312p3217−3∣∣
∣∣=0⇒p=−4
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:
A
Since,⃗a=2^i+3^j+^k,⃗b=2^i+p^j+3^k and ⃗c=2^i+17^j+3^k are coplanar,
therefore [⃗a⃗b⃗c]=∣∣
∣∣2312p3217−3∣∣
∣∣=0⇒p=−4
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