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

Addition of Vectors

The vector z ...

Question

The vector z=3-4i is turned anticlockwise through an angle of $180^{\circ}$ and stretched 2.5 times. The complex number corresponding to the newly obtained vector is

-10i

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

+10i

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

-10i

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

None of these

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

Open in App

Solution

The correct option is B
+10i

3-4i i.e., (3,-4) lie in fourth quadrant in complex plane, after turned anticlock through $180^{\circ}$ this will lie in II quadrant, therefore, the number will be -3+4i, now after streching it 2.5 times i.e., multiplying by 2.5, the required complex number will be $\frac{- 15}{2}$ +10i.

Suggest Corrections

Similar questions

Q. The vector

z = 3 - 4 i

is turned anticlockwise through an angle of

180^{\circ}

and stretched

2.5

times. The complex number corresponding to the newly obtained vector is ....

Q. The vector

z = 3 - 4 i

is turned anticlockwise through an angle of 180

^{o}

and stretched

2.5

times. The complex number corresponding to the newly obtained vector is

Q. The complex number

3 + 4 i

is rotated about origin by an angle of

\frac{π}{4}

and then stretched 2 times. The complex number corresponding to new position is

Q. Let the affix of

2 - 4 i

P

. Then

O P

is rotated about

O

though an angle

180^{0}

and is stretched

\frac{5}{2}

times. Then show that complex number corresponding to the new position of

P

- 5 + 10 i

In the Argand plane, the vector z=4-3i is turned in the clockwise sense through $180^{o}$ and stretched three times. The complex number represented by the new vector is

Join BYJU'S Learning Program

The vector z=3-4i is turned anticlockwise through an angle of 180∘ and stretched 2.5 times. The complex number corresponding to the newly obtained vector is

The correct option is B +10i 3-4i i.e., (3,-4) lie in fourth quadrant in complex plane, after turned anticlock through 180∘ this will lie in II quadrant, therefore, the number will be -3+4i, now after streching it 2.5 times i.e., multiplying by 2.5, the required complex number will be −152+10i.

The vector z=3-4i is turned anticlockwise through an angle of $180^{\circ}$ and stretched 2.5 times. The complex number corresponding to the newly obtained vector is