The area of the parallelogram represented by the vectors A - 2 - - 3- and B - - - 4- as its sides is

Area of parallelogram= |A×B| nbsp; Here A×B = (2 î + 3 ĵ) × (î + 4 ĵ) ⇒ nbsp;A×B = 8 k̂ 3 k̂ ⇒ nbsp; A×B= 5 k̂ ∴Magnitude of area = |A×B| = 5 Units ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Physics

Multiplication with Vectors

The area of t...

Question

The area of the parallelogram represented by the vectors $\to A = 2^i + 3^j$ and $\to B =^i + 4^j$ as its sides is

15 Units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7.5 Units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 Units

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 Units

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $5 Units$
$Area of parallelogram = | \to A \times \to B |$
Here $\to A \times \to B = (2^i + 3^j) \times (^i + 4^j)$
$\Rightarrow \to A \times \to B = 8^k - 3^k$
$\Rightarrow \to A \times \to B = 5^k$
$∴ Magnitude of area = | \to A \times \to B | = 5 Units$

Suggest Corrections

Similar questions

Q. The area of the parallelogram represented by the vectors

\to A = 2^i + 3^j

and

\to B =^i + 4^j

Q. The area of the parallelogram represented by the vectors

\to A = 2^i + 3^j

and

\to B =^i + 4^j

Q. The area of the parallelogram represented by the vectors

\to A = 2^i + 3^j

and

\to B =^i + 4^j

Q. The area of parallelogram represented by the vectors

A = 2^i + 3^j a n d B =^i + 4^j

Q. If

2^i + 3^j + 4^k

and

^i - 4^j + 7^k

are the sides of a parallelogram, then is the vector representing its diagonal.

Join BYJU'S Learning Program

Explore more

Multiplication with Vectors

Standard XI Physics

Join BYJU'S Learning Program

The area of the parallelogram represented by the vectors →A=2^i+3^j and →B=^i+4^j as its sides is

The correct option is D 5 UnitsArea of parallelogram=|→A×→B| Here →A×→B=(2^i+3^j)×(^i+4^j) ⇒→A×→B=8^k−3^k ⇒→A×→B=5^k ∴Magnitude of area=|→A×→B|=5 Units

The area of the parallelogram represented by the vectors $\to A = 2^i + 3^j$ and $\to B =^i + 4^j$ as its sides is

The correct option is D $5 Units$
$Area of parallelogram = | \to A \times \to B |$
Here $\to A \times \to B = (2^i + 3^j) \times (^i + 4^j)$
$\Rightarrow \to A \times \to B = 8^k - 3^k$
$\Rightarrow \to A \times \to B = 5^k$
$∴ Magnitude of area = | \to A \times \to B | = 5 Units$