Find the area of parallelogram with adjacent sides formed by P- and Q- where P-2-3-4k- and Q-3-2-2k- expressed in metre-

Given side P⃗ =2î +3ĵ +4k̂ and Q̂ =3î +2ĵ 2k̂ Now we know area of parallelogram = P⃗×Q⃗ P⃗×Q⃗ = î #160; amp; ĵ #160; amp; k̂ #160; ...

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Multiplication with Vectors

Find the area...

Question

Find the area of parallelogram with adjacent sides formed by $\to P$ and $\to Q$ , where $\to P = 2^i + 3^j + 4^k$ and $\to Q = 3^i + 2^j - 2^k$ expressed in metre.

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\to P

\to P

\to P = 2^i + 3^j + 4^k

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

\to a = \to p + 2 \to q

\to b = 2 \to p + \to q

\to p, \to q

60^{0}

\to P = 3^i - 4^j

\to Q = 8^i + 86^j

\to P + \to Q

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

\to Q = 2^i - 5^j + 2^k

\to P + \to Q

3 \to P - 2 \to Q

[\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

\to p

\to q

\to r

∣ ∣ ∣ ∣ \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} ∣ ∣ ∣ ∣

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