Home
Class 12
PHYSICS
If hat i and hat j are unit vectors alo...

If `hat i` and `hat j` are unit vectors along mutually perpendicular directions then the magnitude of `hat i- hat j` is :

A

0

B

`sqrt(2)`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`|hat i-hatj|=sqrt(1+1+cos 90^(@))=sqrt(2)`.
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.3|20 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.4|9 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP.No.71|1 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

If hat(i), hat(j), hat(k) are unit vectors along three mutually perpendicular directions, then

Assertion: If hat(i) and hat(j) are unit Vectors along x-axis and y-axis respectively, the magnitude of Vector hat(i)+hat(j) will be sqrt(2) Reason: Unit vectors are used to indicate a direction only.

If hat(i) and hat(j) are unit vectors x and y axes repsectively , what is the magnitude and direction of hat(i) + hat(j) and hat(i) - hat(j) ?

hat(i) and hat(j) are unit vectors along x-and y-axes respectively. What is the magnitude and the direction of the vectors hat(i)+hat(j) and hat(i)-hat(j) ? What are the components of a vector vec(A)=2hat(i)+3hat(j) along the direction hat(i)+hat(j) and hat(i)-hat(j) ?

A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i+ hat j+2 hat ka n d vec b= hat i+2 hat j+ hat k , and perpendicular to the vector vec c= hat i+ hat j+ hat k , is a. - hat j+ hat k b. hat i- hat k c. hat i- hat j d. hat i- hat j

Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in the direction perpendicular to the direction of vector vec a= hat i+ hat j+ hat ki s hat i- hat jdot Statement 2: A component of vector in the direction of vec a= hat i+ hat j+ hat k is 2 hat i+2 hat j+2 hat kdot

Find a vector of magnitude 49, which is perpendicular to both the vectors 2 hat i+3 hat j+6 hat k and 3 hat i-6 hat j+2 hat k . Find a vector whose length is 3 and which is perpendicular to the vector vec a=3 hat i+ hat j-4 hat k and vec b=6 hat i+5 hat j-2 hat k .

If hat(i), hat(j) and hat(k) represent unit vectors along the x, y and z axes respectively, then the angle theta between the vectors (hat(i) + hat(j) + hat(k)) and (hat(i) + hat(j)) is equal to :

Decompose the vector 6 hat i-3 hat j-6 hat k into vectors which are parallel and perpendicular to the vector . hat i+ hat j+ hat k Then the vectors are .

Two vectors 5hat(i) + 7hat(j) - 3hat(k) and 2 hat(i) + 2hat(j) - a hat(k) are mutually perpendicular . What is the value of a ?