Home
Class 12
MATHS
If veca= 3hati+hatj+9hatk" and "vecb=hat...

If `veca= 3hati+hatj+9hatk" and "vecb=hati+lambdahatj+3hatk` then the value of `lambda` for which the vector `(veca+vecb)" and "(veca-vecb)` are perpendicular to each other.

Text Solution

Verified by Experts

The correct Answer is:
`pmsqrt(19)`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -5|2 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -6|1 Videos
  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -3|21 Videos
  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos
  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

Similar Questions

Explore conceptually related problems

If vec a= 3hati+hatj+9 hat k and vecb = hati +lambda hat j+3 hat k then find the value of lambda for which the vector (veca+vecb) and (veca-vecb) are perpendicular to each other.

If veca=hati-2hatj+3hatk and vecb=-2hati+hatj-2hatk , then the value of |veca xx vecb| is -

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

If |veca+vecb|=|veca-vecb| , then show that vectors veca and vecb are perpendicular to each other.

If veca=2hati-5hatj+4hatk and vecb=hati-4hatj+6hatk , then a unit vector in the direction of the vector 2veca-vecb is -

If veca=2hati+5hatj+7hatk and vecb=hati-hatj+5hatk , then the vecor components of the vector 2veca-3vecb along the coordinate axes are -

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

If veca=5hat(i)-hatj-3hat(k)" and "vecb=hati+3hat(j)-5hat(k) , show that veca+vecb and veca-vecb are perpendicular to each other.

If vecA=5hati+3hatj-4hatk and vecB=5hati+2hatj+4hatk are two vectors, find the unit vectors along (vecA+vecB) and (vecA-vecB) .

If veca=2hati+hatj-hatk and vecb=hati-hatk , then vector projection of veca on vecb will be :