CameraIcon

SearchIcon

MyQuestionIcon

1

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

Multiplication with Vectors

a . b = b . c...

Question

$\to a . \to b = \to b . \to c = \to c . \to a = 0$ and $| \to a | = x, | \to b | = y, | \to c | = z$ Then the volume of the parallelepiped whose three coterminous edges are $\to a, \to b, \to c,$ is_

Open in App

Solution

$\to a . \to b = \to b . \to c = \to c . \to a = 0$
$\Rightarrow a ⊥ b ⊥ C .$
Volume $= a \times b + c$
$= x y z$

Suggest Corrections

thumbs-up

0

Similar questions

¯ a + ¯ b, ¯ b + ¯ c

¯ c + ¯ a

are coterminous edges of a parallelepiped then its volume is ________.

V

is the volume of parallelepiped formed by the vectors

\to a, \to b, \to c

as three coterminous edges is

27

cubic units, then the volume of the parallelepiped having

\to α = \to a + \to 2 b - \to c, \to β = \to a - \to b

\to γ = \to a - \to b - \to c

as three coterminous edges is

Q. The volume of the

y =

tethradron formed by the coterminous edges

¯ a, ¯ b, ¯ c

3

.Then the volume of the parallelepiped formed by the coterminous edges

¯ a + ¯ b, ¯ b + ¯ c, ¯ c + ¯ a

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

are three vectors such that

| ¯ ¯ ¯ a | = 1, | ¯ ¯ b | = 2, | ¯ ¯ c | = 3

¯ ¯ ¯ a . ¯ ¯ b = ¯ ¯ b . ¯ ¯ c = ¯ ¯ c . ¯ ¯ ¯ a = 0

| [¯ ¯ ¯ a ¯ ¯ b ¯ ¯ c] | =

\to a, \to b, \to c

are three vectors such that

\to a + \to b + \to c = \to 0

∣ ∣ \to a ∣ ∣ = 2, ∣ ∣ ∣ \to b ∣ ∣ ∣ = 3, ∣ ∣ \to c ∣ ∣ = 5,

\to a . \to b + \to b . \to c + \to c . \to a

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 XII Physics

Join BYJU'S Learning Program

CrossIcon