Home
Class 12
MATHS
If vec a\ is a non zero vector of modu...

If ` vec a\ ` is a non zero vector of modulus ` vec a\ a n d\ m` is a non zero scalar such that `m a` is a unit vector, write the value of `mdot`

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

Similar Questions

Explore conceptually related problems

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

If veca and vecb are two non- zero collinear vectors then …… is correct .

Statement 1: If vec u a n d vec v are unit vectors inclined at an angle alphaa n d vec x is a unit vector bisecting the angle between them, then vec x=( vec u+ vec v)//(2sin(alpha//2)dot Statement 2: If "Delta"A B C is an isosceles triangle with A B=A C=1, then the vector representing the bisector of angel A is given by vec A D=( vec A B+ vec A C)//2.

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

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

Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if ……….

Answer the following : (i) A vector has magnitude & direction. Does it have a fixed location in space? Can it vary with time. (ii) Will two equal vectors vec(a) & vec(b) at different locations in space necessarily have identical physical effects? (iii) Can three non zero vectors, not in one plane, give a zero resulatnt? Can four vectors do ? (iv) Can a vector have zero magnitude if one of its components is not zero?

How many minimum numbers of non zero vectors in different planes can be added to give zero resultant.

For two non - zero vectors veca and vecb | veca + vecb| = | veca| then vectors 2 veca + vecb and vecb are …..