Home
Class 12
MATHS
If veca is a non-zero vector of modulus ...

If `veca` is a non-zero vector of modulus a and m is a non-zero scalar, then `mveca` is a unit vector if

A

`m=+-1`

B

`m=|a|`

C

`m=(1)/(|a|)`

D

`m=+-2`

Text Solution

Verified by Experts

The correct Answer is:
C

Since, ma is a unit vector, `|ma|=1`
`implies|m||a|=1`
`implies|m|=(1)/(|a|)impliesm=+-(1)/(|a|)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If vec a\ is a non zero vecrtor iof modulus a and m is a non zero scalar such that m a is a unit vector, write the value of mdot

If vec(a) is a non-zero vector and m is a non-zero scalar, then m vec(a) is a unit vector if

If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a non zero scalar such that m a is a unit vector, then

If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero scalar, then lambda vec(a) is unit vector if

If vec(a) is a vector and x is a non-zero scalar, then

Let a, b and c be non-zero vectors and |a|=1 and r is a non-zero vector such that r times a=b and r*a=1 , then

Let vecx, vecy and vecz be three vectors each of magnitude sqrt2 and the angle between each pair of them is pi/3 if veca is a non-zero vector perpendicular to vecx and vecy xx vecz and vecb is a non-zero vector perpendicular to vecy and vecz xx vecx , then

Is it possible that two non - zero vectors multiply and give a zero result ?

If non-zero vectors veca and vecb are equally inclined to coplanar vector vecc , then vecc can be

If vectors veca and vecb are non collinear then veca/(|veca|)+vecb/(|vecb|) is (A) a unit vector (B) in the plane of veca and vecb (C) equally inclined to veca and vecb (D) perpendicular to veca xx vecb