Home
Class 12
PHYSICS
A vector lying in x-y plane has a magnit...

A vector lying in x-y plane has a magnitude 3, and makes an angle `30^(@)` with the x-axis. Find its components along the two axes.

Text Solution

AI Generated Solution

To find the components of a vector lying in the x-y plane with a given magnitude and angle, we can follow these steps: ### Step 1: Understand the problem We have a vector \( \vec{A} \) with a magnitude of 3 that makes an angle of \( 30^\circ \) with the x-axis. We need to find its components along the x-axis and y-axis. ### Step 2: Identify the components The components of the vector can be found using trigonometric functions: - The x-component (\( A_x \)) can be calculated using the cosine of the angle. ...
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise llustration 1 :|1 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|48 Videos
  • MOCK_TEST_17

    AAKASH INSTITUTE ENGLISH|Exercise Example|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

A vector of magnitude 13 makes an angle 65.37^(@) with the x-axis . What is its component along positive y-axis ?

A displacement vector of magnitude 4 makes an angle 30^(@) with the x-axis. Its rectangular components in x-y plane are

A displacment vector fo magnitude 4 makes an angle 30^(@) with the x-axis. Its rectangular components in x-y plane are

Let AB be a vector in two dimensional plane with the magnitude 4 units and making an angle of 30^(@) with X-axis and lying in the first quadrant. Find the components of AB along the two axes off coordinates. Hence, represent AB in terms of unit vectors hati and hatj .

A tangent to the parabola y^(2)=16x makes an angle of 60^(@) with the x-axis. Find its point of contact.

A rectangular loop consists of N = 100 closed wrapped turns and has dimensions (0.4 m xx 0.3 m) . The loop is hinged along the y-axis and its plane makes an angle theta = 30^@ with the x-axis. What is the magnitude of the torque exerted on the loop by a uniform magnetic field B = 0.8 T directed along the x-axis when current is i = 1.2 A in the direction shown. What is the expected direction of rotation of the loop?

A vector having magnitude 30 unit makes equal angles with each of X,Y, and Z -axes The components of vector along each of X,Y,and Z -axes are

X- component of vec(a) is twice of its Y- component. If the magnitude of the vector is 5sqrt(2) and it makes an angle of 135^(@) with z-axis then the components of vector is:

Let vec(AB) be a vector in two dimensional plane with magnitude 4 units. And making an anle of 60^0 with x-axis, and lying in first quadrant. Find the components of vec(AB) in terms of unit vectors hati and hatj . so verify that calculation of components is correct.

A vector vecA makes an angle of 20^@ and vecB makes an angle of vec110^@ with the X-axis. The magnitude of these vectors are 3 m and 4 m respectively.Find the resultant