MyQuestionIcon

1

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

Applications of Dot Product

If A × B = C ...

Question

If $\to A \times \to B = \to C + \to D$ , then select the correct alternative:

A

is parallel to

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

B

is perpendicular to

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

C

Component of = component of

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

D

Component of = component of

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

Open in App

Solution

The correct option is D
Component of = component of

According to definition of cross-product $\to C + \to D$ is perpendicular to both $\to A$ and $\to B$

$i . e ., \to A . (\to C + \to D) = 0$

$o r \to A . \to C + \to A . \to D = 0$

or (component of $\to C$ along $\to A$ ) + (component of $\to D$ along $\to A$ )=0

or component of $\to C$ along $\to A = -$ component of $\to D$ along $\to A$

Suggest Corrections

thumbs-up

7

Similar questions

If $\to A \times \to B = \to C + \to D$ , then select the correct alternative:

\to a, \to b, \to c, \to d

are non-coplanar vectors then the vector

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

is parallel to:

\to b, \to c, \to d

are non-coplanar vectors then the vector

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

\to b, \to c, \to d

are non-coplanar vectors, then the vector

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

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

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

\to a - \to d, \to b - \to c

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Dot Product

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Applications of Dot Product

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon