Home
Class 12
MATHS
Let vec a = hat i + 2 hat j and vec b =...

Let `vec a = hat i + 2 hat j` and `vec b = 2 hat i + hat j`. Is `|veca| = |vec b|`.Are the vectors `vec a` and `vec b` equal ?

Text Solution

Verified by Experts

The correct Answer is:
`vec a` and `vec b` are not equal.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1|4 Videos
  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos
  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

If vec a = hat i + 2 hat j - 3 hat k and vec b = 3 hat i - hat j + 2 hat k , then vec a + vec b and vec a - vec b are

If vec a = hat i - hat j and vec b = hat j + hat k then |vec a xx vec b|^(2) + |vec a. vecb|^(2) is equal to

If vec a = 5 hat i - hat j - 3 hat k and vec b = hat i + 3 hat j - 5 hat k , then show that the vectors vec a + vec b and vec a - vec b are orthogonal

Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 hat i - hat j + 2 hat k . (i) Find |vec a| and |vec b| . (ii) Find vec a. vec b (iii) Find the projections of vec a on vec b and vec b on vec a .

Let veca = 2 hat i - hatj + hatk and vec b = hat i - 2 hat j + hat k , (i) Find the projection of vec a on vec b . (ii) Find theprojection vector of vec a on vecb

If vec a = 7 hat i - 2 hat j + 3 hat k , vec b = hat i - hat j + 2 hat k and vec c = 3 hat i + 8 hat j , then find veca.(vec b xx vec c) and (vec a xx vec b) vec c . Also find whether veca.(vec b xx vec c) and (vec a xx vec b) vec c are equal.

Let vec a = hat i + hat j + hat k, vec b = hat i - hat j + 2 hat k and vec c = x hat i +(x -2) hat j - hatk .If the vector vec c lies in the plane of veca and vecb , thenx equals

If veca = hat i - hat j + hat k, vec b = 2 hat i + hat j + 3 hat k , then (i) Find vec a + vec b , vec a - vec b and vec a. vec b . (ii) Find (vec a + vec b) xx (vec a - vec b) . (iii) Find a unit vector perpendicular to both vec a + vec b and vec a - vec b .

Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat i - hat j - hat k . (i) Find vec a.vec b (ii) Find the angle between vec a and vec b .