If the vector p- - - - k- - q- - k- and - - - - rk- p q r 1 are coplanar- then the value of pqr - p - q - r is

The correct option is B 2 If vector p î + ĵ + k̂ , î + q î + k̂ , î + ĵ + r k̂ are #160;Coplanar then p amp; 1 amp; 1 1 amp; ...

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Definition of Vector

If the vector...

Question

If the vector $p^i +^j +^k,^i + q^j +^k$ and $^i +^j + r^k (p \neq q \neq r \neq 1)$ are coplanar, then the value of $p q r - (p + q + r)$ is

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p^i +^j +^k,^i + q^j +^k

^i +^j + r^k

(p \neq q \neq r \neq 1)

p q r - (p + q + r)

\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 =

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

¯ ¯ ¯ a . (¯ ¯ b \times ¯ ¯ c) = 1

q

\sqrt{2}

\to a =^i +^j + 2^k

\to b =^i + 2^j +^k

\to c =^i +^j +^k

-^i -^k

^j -^k

^i -^j

^i +^k

({sec}^{2} A)^i +^j +^k

^i + ({sec}^{2} B)^j +^k

^i +^j + ({sec}^{2} C)^k

{sec}^{2} A + {sec}^{2} B + {sec}^{2} C - {sec}^{2} A {sec}^{2} B {sec}^{2} C

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