Home
Class 11
PHYSICS
A vector vecAandvecB make angles of 20^(...

A vector `vecAandvecB` make angles of `20^(@)and110^(@)` respectively with the X-axis. The magnitude of these vectors are 5m and 12m respectively. Find their resultant vector.

Text Solution

Verified by Experts

Angle between the `vec(A)` and `vec(B)=110^(@)-20^(@)=90^(@)`
`R=sqrt(A^(2)+B^(2)+2AB cos 90^(@))=sqrt(5^(2)+12^(2))=13 m`
Let angle of `vec(R)` from `vec(A)` is `alpha`
`tan alpha=(B sin theta)/(A+B cos theta)=(12 sin 90^(@))/(5+12 cos 90^(@))=(12xx1)/(5+12xx0)=12/5`
or `alpha=tan^(-1)(12/5)` with vector `vec(A)` or `(alpha+20^(@))` with X-axis
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example|61 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

A vector vec(A) and vec(B) make angles of 20^(@) and 110^(@) respectively with the X-axis. The magnitudes of these vectors are 5m and 12m respectively. Find their resultant vector.

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

The x and Y components of a vector barP have numerical values 5 and 6 respectively. Find the vector barP

When two vectors a and b of magnitudes 'a' and 'b' respectively are added, the magnitude of resultant vector is always

Let vecA and vecB be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30^@ and 60^@ respectively, find the resultant.

Let vecA and vecB be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30^@ and 60^@ respectively, find the resultant.

Find the magnitude and direction of the resultant of given vectors

The scalar and vector products of two vectors are 48sqrt(3) and 144 respectively. What is angle between the two vectors?

The resultant of the two vectors overset(rarr)a and overset(rarr)b of magnitudes 6 and 10 respectively is at right angles to the vector overset(rarr)a Find their resultant and also the angle between the given vectors.

Two vectors having magnitude 12 and 13 are inclined at and angle 45^(@) to each other.find their resultant vector.