Vector A -5 -4 -3 k- is rotated around Z-axis such that its projection on the x-y plane is rotated through 180-Choose the correct option-A- No it won-t as translation of a vector doesn-t change itB- Yes- New Vector -5 -4 -3 k-C- No- it won-t as the angle is 180-D- Yes- New vector -5 -4 -k-

The correct option is D Yes, New vector = The projection of the vector A on the xy plane will be 5î+4ĵ After it is rotated by 180^∘ the new projection is 5î ...

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

Byju's Answer

Standard XII

Physics

Vector Notation

Vector A =5 î...

Question

Vector $\to A = 5^i + 4^j + 3^k$ is rotated around Z-axis such that its projection on the x-y plane is rotated through $180^{\circ}$ .Choose the correct option?

No it won't as translation of a vector doesn't change it

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

Yes, New Vector =

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

No, it won't as the angle is

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

Yes, New vector =

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

Open in App

Solution

The correct option is D
Yes, New vector =

The projection of the vector $\to A$ on the xy plane will be $5^i + 4^j$

After it is rotated by $180^{\circ}$ the new projection is $- 5^i - 4^j$

$∴$ New vector is $- 5^i - 4^j + 3^k$

Suggest Corrections

Similar questions

Q. The displacement of particle from a point having vector

2^i + 4^j

to another point having vector

5^i + 1^j

Q. Let

\to O A = 4^i + 5^j - 3^k

and

\to O B = 5^i + 4^j - 3^k .

, then the vector

\to O C

bisecting the angle

A O B

and

C

being the point on the line

A B

Q. Find the scaler product of vectors

3^i + 4^j - 7^k

and

5^i + 3^j + 4^k

Q. Find the angle between force

F = (3^i + 4^j + 5^k)

unit and displacement

d = (5^i + 4^j + 3^k)

unit. Also find the projection of

F

d

A

and

B

are two perpendicular vectors given by

\to A = 5^i + 10^j - 3^k

and

\to B = 2^i + 4^j - c^k

. The value of

c

is:

Join BYJU'S Learning Program

Vector →A=5^i+4^j+3^k is rotated around Z-axis such that its projection on the x-y plane is rotated through 180∘.Choose the correct option?

The correct option is D Yes, New vector = The projection of the vector →A on the xy plane will be 5^i+4^j After it is rotated by 180∘ the new projection is −5^i−4^j ∴New vector is −5^i−4^j+3^k

Vector $\to A = 5^i + 4^j + 3^k$ is rotated around Z-axis such that its projection on the x-y plane is rotated through $180^{\circ}$ .Choose the correct option?

The correct option is D
Yes, New vector =

The projection of the vector $\to A$ on the xy plane will be $5^i + 4^j$

After it is rotated by $180^{\circ}$ the new projection is $- 5^i - 4^j$

$∴$ New vector is $- 5^i - 4^j + 3^k$