Home
Class 11
PHYSICS
A vector vec(B) which has a magnitude 8....

A vector `vec(B)` which has a magnitude 8.0 is added to a vector `vec(A)` which lies along the x-axis. The sum of these two vector is a third vector which lies along the y-axis and has a magnitude that is twice the magnitude of `vec(A)`. Find the magnitude of `vec(A)`

A

`(6)/sqrt(5)`

B

`(8)/sqrt(5)`

C

`(12)/sqrt(5)`

D

`(16)/sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
`|vecQ|=8,vecP+vecQ=vecR`,
`R_(y)=2P_(x),(P_(x)+Q_(x))+Q_(y)=R_(y)`
`Q_(x)^(2)+Q_(y)^(2)=64rArrP_(x)^(2)+4P_(x)^(2)=64`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Vector vecA, which is directed along an x axis , is to be added to vector vecB, which has a magnitude of 7.0m. The sum is a third vector that is directed along the y axis, with a magnitude that is 3.0 times that of vecA. What is that magnitude of vecA ?

Vector vecA, which is directed along an x axis, is to be added to vector vecB, which has a magnitude of 6.0 m. The sum is a third vector that is directed along the y axis, with a magnitude of vecA Find the magnitude of vecA ?

If the resultant of vec a and vec b lie along y-axis. Find thre magnitude of b

A vector vec(A) When added to the vector vec(B)=3hat(i)+4hat(j) yields a resultant vector that is in the positive y-direction and has a magnitude equal to that of vec(B) . Find the magnitude of vec(A) .

A vector vec A when added to the vector vec B = 3. 0 hat i+ 4 hat j yields a resultant vector that is in the positive y-direction and has a magnintude equal to that of vec B . Find the magnitude of vec A .

A vector vec(A) is along the positive x - axis . If B is another vector such that vec(A) xx vec(B) is zero , then B could be

The sum of three vectors shown in Fig. 2 ( c) . 77. is zero . . (a) What is the magnitude of the vector vec (OB) ? (b) What is the magnitude of the vector vec (OC) ?

The sum of three vectors shown in figure, is zero. (i) What is the magnitude of vector vec(OB) ? (ii) What is the magnitude of vector vec(OC) ?

Write the magnitude of the vector vec(a) in terms of dot product.

If vec(i) and vec(j) are unit vectors along x-axis and y-axis respectively, the magnitude of vector vec(i)+vec(j) will be :-