MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication with Vectors

If a = î + ĵ ...

Question

If $\to a =^i +^j +^k$ , and $\to b =^j -^k$ then area vector of plane formed by $\to a$ and $\to b$ is

A

^i -^j -^k

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

B

^j -^k

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

C

- 2^i +^j +^k

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

D

2^i

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

Open in App

Solution

The correct option is C $- 2^i +^j +^k$
Area vector can be calculated by using the cross product of two vectors.
$(\to a \times \to b) = (^i +^j +^k) \times (^j -^k)$
$\to a \times \to b = - 2^i +^j +^k$

Suggest Corrections

thumbs-up

0

Similar questions

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

\to b =^j -^k

then area vector of plane formed by

\to a

\to b

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

\to b =^j -^k

then area vector of plane formed by

\to a

\to b

\to a

is a non-zero vector, then the value of

^i \times (\to a \times^i) +^j \times (\to a \times^j) +^k \times (\to a \times^k)

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

\to b =^j -^k

, find a vector

\to c

\to a \times \to c = \to b

\to a . \to c = 3

.

Q. A unit vector perpendicular to the plane containing the vector

^i + 2^j +^k

- 2^i +^j + 3^k

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Operations

PHYSICS

Watch in App

explore_more_icon

Explore more

Multiplication with Vectors

Standard XIII Physics

Join BYJU'S Learning Program

CrossIcon