If - p- -2q- -3r- q- -2r- -3 p- r- -2p- -3q- -54 where p- q- and r- are three vector then the Value of p- -p- p- -q- p- -r- p- -q- q- -q- q- -r- p- -r- r- -q- r- -r- is

The correct option is D 0 p^2 amp;pq #160; amp;pr pq amp; q^2 amp;qr #160; pr amp;rq #160; amp; r^2 =p^2q^2 ...

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Definition of Sets

If [ p⃗ +2q...

Question

If $[\to p + 2 \to q + 3 \to r \to q + 2 \to r + 3 \to p \to r + 2 \to p + 3 \to q] = 54$ where $\to p$ , $\to q$ and $\to r$ are three vector then the Value of $∣ ∣ ∣ ∣ \begin{matrix} \to p . \to p & \to p . \to q & \to p . \to r \to p . \to q & \to q . \to q & \to q . \to r \to p . \to r & \to r . \to q & \to r . \to r \end{matrix} ∣ ∣ ∣ ∣$ is

0

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\to P

\to Q

\to R

| \to P |

= | \to Q |

| \to R |

= \sqrt{2}

| \to P |

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+ \to R = 0

\to P

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\to Q

\to R

\to P

\to R

\to R = \to P + \to Q

(\to P \times \to R) = (\to P \times \to Q)

\to p, \to q, \to r

\to x

\to p \times ((\to x - \to q) \times \to p) + \to q \times ((\to x - \to r) \times \to q) + \to r \times ((\to x - \to p) \times \to r) = 0

\to p, \to q, \to r

\to x

\to p \times {(\to x - \to q) \times \to p} + \to q \times {(\to x - \to r) \times \to q} + \to r \times {(\to x - \to p) \times \to r}

\to q, \to r

\to p = \to q \times \to p + \to r

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