Home
Class 12
MATHS
Find a unit vector parallel to the vecto...

Find a unit vector parallel to the vector `-3hati+4hatj`.

Text Solution

Verified by Experts

let `a=-3hati+4hatj`
then, `|a|=sqrt((-3)^(2)+(4)^(2))=5`
`therefore`Unit vector parallel to `a=hata=(1)/(|a|)*a`
`=(-3hati+4hatj)/(5)=(-3)/(5)hati+(4)/(5) hatj`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

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

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

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

Similar Questions

Explore conceptually related problems

Find a unit vector parallel to the sum of the vector (hati + hatj + hatk) and (2hati - 3hatj + 5hatk) .

Find a vector of magnitude (5/2) units which is parallel to the vector 3hati+4hatj .

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3cevc .

Find as unit vector paralel to the sum of the vectors 2hati+3hatj-5hatk and hati+2hatj+3hatk

Find the unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk .

Find a unit vector perpendicular to both the vectors hati-2hatj+hatk and hati+2hatj+hatk .

The unit vector parallel to the resultant vector of 2hati+4hatj-5hatk and hati+2hatj+3hatk is

Find a unit vector perpendicular to both the vectors 2hati+3hatj+hatk) and (hati-hatj+2hatk) .

Find unit vector parallel to the resultant of the vectors vec(A) = hati +4hatj +2hatk and vec(B) = 3hati - 5hatj +hatk .

Find a unit vector perpendicular to both vectors vecA=3hati+4hatj and vecB=-3hati+7hatj .