Magnitude of vector which comes on addition of two vectors, $6^i + 7^j$ and $3^i + 4^j$ is

$\sqrt{136}$

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

$\sqrt{13.2}$

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

$\sqrt{202}$

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

$\sqrt{160}$

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

Open in App

Solution

The correct option is C
$\sqrt{202}$

$\to R = \to A + \to B = 6^i + 7^j + 3^i + 4^j = 9^i + 11^j ∴ | \to R | = \sqrt{9^{2} + 11^{2}} = \sqrt{81 + 121} = \sqrt{202}$

Suggest Corrections

Similar questions

Magnitude of vector which comes on addition of two vectors, $6^i + 7^j$ and $3^i + 4^j$ is

6^i + 7^j

3^i + 4^j

Magnitude of vector which comes on addition of two vectors, $6^i + 7^j$ and $3^i + 4^j$ is

Vectors A and B are $6^i - 7^j + 6^k$ and $3^i + 4^j + 6^k$ respectively. Their vector difference in unit vector notation will be

\to A = 3^i + 4^j

\to B = - 3^i + 7^j

Join BYJU'S Learning Program