If `vec(a)=5hati-hatj+7hatk` and `vec(b)=hati-hatj+lambda hatk`. If `vec(a)+vec(b)` and `vec(a)-vec(b)` are perpendicualr to each other then find the value of `lambda`.
Text Solution
Verified by Experts
The correct Answer is:
`sqrt(75)`
Topper's Solved these Questions
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise EXERCISE-10.2|21 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos
Similar Questions
Explore conceptually related problems
vec(a)=lambda hati+3hatj+2hatk,vec(b)=hati-hatj+3hatk . If vec(a) and vec(b) are perpendicular to each other then find the value of lambda .
If vec(a)=5hati-hatj-3hatk and vec(b)=hati+3hatj-5hatk , then show that the vectors vec(a)+vec(b) and vec(a)-vec(b) are perpendicualr.
If vec(a)=hati+hatj+2hatk and vec(b)=3hati+2hatj-hatk then find vec(a)+3vec(b).(2vec(a)-vec(b)) .
vec(a) and vec(b) are unit vectors and angle between them is pi/k . If vec(a)+2vec(b) and 5vec(a)-4vec(b) are perpendicular to each other then find the integer value of k.
If vec(a)=hati+2hatj-3hatk and vec(b)=3hati-hatj+2hatk then show that (vec(a)+vec(b)) is a perpendicular to the vector vec(a)-vec(b) .
vec(a)=3hati+2hatj+9hatk and vec(b)=hati+p hatj+3hatk . If the vector vec(a) and vec(b) are parallel then find the value of P.
vec(a)=2hati+lambda_(1)hatj+3hatk,vec(b)=4hati+(3-lambda_(2))hatj+6hatk and vec( c )=3hati+6hatj+(lambda_(3)-1)hatk are three vectors. Vector vec(b)=2vec(a) and vec(a) is perpendicular to vec(b) then the possible value of (lambda_(1),lambda_(2),lambda_(3)) is ..............
Find |vec(a)xx vec(b)| , if vec(a)=hati-7hatj+7hatk and vec(b)=3hati-2hatj+2hatk .
KUMAR PRAKASHAN-VECTOR ALGEBRA -Practice Paper - 10 (Section-D)
