Home
Class 12
PHYSICS
Keeping one vector constant, if directio...

Keeping one vector constant, if direction of other to be added in the first vector is changed continuously, tip of the resultant vector describes a circles, In the following figure vector `vec(a)` is kept constant. When vector `vec(b)` addede to `vec(a)` changes its direction, the tip of the resultant vector `vec(r)=vec(a)+vec(b)` describes circles of radius b with its centre at the tip of vector `vec(a)`. Maximum angle between vector `vec(a)` and the resultant `vec(r)=vec(a)+vec(b)` is

A

`tan^(-1)""((b)/(r))`

B

`tan^(-1)""((b)/(sqrt(a^(2)-b^(2))))`

C

`cos^(-1)(r//a)`

D

`cos^(-1)(a//r)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Angle between `vec(r)` and `vec(b)` is maximum when `vec(r)` is tangent to circle.
Promotional Banner

Topper's Solved these Questions

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (S-1)|22 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (S-2)|7 Videos

  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN |Exercise Exercise (J-A)|7 Videos

  • TEST PAPERS

    ALLEN |Exercise MATHS|1 Videos

  • WAVE OPTICS

    ALLEN |Exercise Exercise 2 (Previous Year Questions)|7 Videos

Similar Questions

Explore conceptually related problems

If theta is angle between two vectors vec(a) and vec(b) then vec(a).vec(b)ge 0 only when …….

For given vectors vec(a)=3hati+4hatj-5hatk and vec(b)=2hati+hatj find the unit vectors in the direction of the vector vec(a)+2vec(b) .

For given vectors, vec(a)=hati+2hatj and vec(b)=hati+2hatk , find the unit vector in the direction of the vector 3vec(a)-2vec(b) .

Find |vec(a)-vec(b)| , if two vectors vec(a) and vec(b) are such that |vec(a)|=2,|vec(b)|=3 and vec(a).vec(b)=4 .

The unit vector bisecting vec(OY) and vec(OZ) is

vec(a) and vec(b) are any two vectors. Prove that |vec(a)+vec(b)|le|vec(a)|+|vec(b)|

Let vec a= hat i be a vector which makes an angle of 120^@ with a unit vector vec b in XY plane. then the unit vector (vec a+ vec b) is

Three vector vec(A) , vec(B) , vec(C ) satisfy the relation vec(A)*vec(B)=0 and vec(A).vec(C )=0 . The vector vec(A) is parallel to

Let vec(a),vec(b) and vec( c ) be unit vectors such that vec(a).vec(b)=vec(a).vec( c )=0 and the angle between vec(b) and vec( c ) is (pi)/(6) . Prove that vec(a)=+-2(vec(b)xx vec( c )) .