MyQuestionIcon

1

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

Vector Addition

The volume of...

Question

The volume of the parallelopiped whose coterminous edges are $^i -^j +^k, 2^i - 4^j + 5^k,^3 i - 5^j + 2^k$ is

A

4

cu unit

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

B

3

cu unit

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

C

2

cu unit

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

D

8

cu unit

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

Open in App

Solution

The correct option is D $8$ cu unit
Let the edges are $^i -^j +^k, 2^i - 4^j + 5^k,^3 i - 5^j + 2^k$
Volume of parallelopiped,
$V = [\to a \to b \to c]$
$∴ V = ∣ ∣ ∣ ∣ \begin{matrix} 1 & - 1 & 1 2 & - 4 & 5 3 & - 5 & 2 \end{matrix} ∣ ∣ ∣ ∣$
$V = 1 (- 8 + 25) + 1 (4 - 15) + 1 (- 10 + 12)$
$= 17 - 11 + 2 = 8$ cu unit

Suggest Corrections

thumbs-up

0

Similar questions

Q. Volume of parallelopiped whose coterminous edges are given by

\to u =^i +^j + λ^k, \to v =^i +^j + 3^k

\to w = 2^i +^j +^k

1

θ

be the angle between the edges

\to u

\to w

cos θ

Q. Volume of parallelopiped whose coterminous edges are given by

\to u =^i +^j + λ^k, \to v =^i +^j + 3^k

\to w = 2^i +^j +^k

1

θ

be the angle between the edges

\to u

\to w

cos θ

Q. The volume of the parallellopiped whose coterminal edges are

2^i - 3^j + 4^k,^i + 2^j - 2^k, 3^i -^j +^k

Find the volume of the parallelepiped whose coterminous edges are represented by vectors

\to a =^i +^j +^k; \to b = 2^i + 4^j -^k

\to c =^i +^j + 3^k

Q. The volume of the parallellopiped whose coterminal edges are

2^i - 3^j + 4^k,^i + 2^j - 2^k, 3^i -^j +^k

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Basic Operations

PHYSICS

Watch in App

explore_more_icon

Explore more

Vector Addition

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon