If a-2-3-k- b-2-p-3k- and c-2-17-3k- are coplanar vectors- then the value of p is

The correct option is A 4Since,a⃗=2î+3ĵ+k̂, b⃗=2î+pĵ+3k̂ and c⃗=2î+17ĵ+3k̂ are coplanar, therefore [a⃗b⃗c⃗]= 2 amp; 3 amp; 1 2 amp; p amp; 3 2 ...

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Test for Coplanarity

If a⃗=2î+3ĵ+k...

Question

If $\to a = 2^i + 3^j +^k, \to b = 2^i + p^j + 3^k$ and $\to c = 2^i + 17^j + 3^k$ are coplanar vectors, then the value of p is

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\to a = 2^i + 3^j +^k, \to b = 2^i + p^j + 3^k

\to c = 2^i + 17^j + 3^k

\to a = 2^i + 3^j - 4^k, \to b =^i +^j +^k

\to c = 4^i + 3^k

| \to a \times (\to b \times \to c) | =

\to a =^i - 3^k, . \to b = 2^j -^k, \to c = 2^i - 3^j + 2^k

\to a =^i - 2^j, \to b = 2^i - 3^j, \to c = 2^i + 3^k

\to a =^i - 2^j - 3^k, \to b = 2^i +^j -^k

\to c =^i + 3^j - 2^k

\to a \times (\to b \times \to c) = p^i + q^j + r^k

p + q + r =

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