Find the area of the parallelogram whose adjacent sides are determined by the vectors $\to a =^i -^j + 3^k$ and $\to b = 2^i - 7^j +^k$ .

Open in App

Solution

$\to a =^i -^j + 3^k$
$\to b = 2^i - 7^j +^k$
Area of parallelogram $\to a \times \to b = ∣ ∣ ∣ ∣ \begin{matrix} i & j & k 1 & - 1 & 3 2 & - 7 & 1 \end{matrix} ∣ ∣ ∣ ∣$
$=^i (- 1 + 21) -^j (1 - 6) +^k (- 7 + 2)$
$= 20^i + 5^j - 5^k$

Suggest Corrections

Similar questions

Find the area of the parallelogram whose adjacent sides are determined by the vector .

\to a = 3^i +^j + 4^k

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

\to A

^i + 2^j + 3^k

\to B

2^i - 3^j +^k

^i +^j + 3^k

-^i - 2^j +^k

Calculate the area of the parallelogram when adjacent sides are given by the vectors $\to A$ = $^i + 2^j + 3^k$ and $\to B$ = $2^i - 3^j +^k$

Join BYJU'S Learning Program