Home
Class 12
MATHS
The coordinates of the point P on the...

The coordinates of the point `P` on the line ` vec r=( hat i+ hat j+ hat k)+lambda(- hat i+ hat j- hat k)` which is nearest to the origin is a. `(2/4,4/3,2/3)` b. `(-2/3,-4/3,2/3)` c. `(2/3,-4/3,2/3)` d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

A point on the line vec r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k ,then veca.vecb =

vec A = 2 hat i + 3 hat j + 4 hat k and vec B = hat i - 2 hat j + 3 hat k find vec A . vec B

underset with a = 2hat i + hat j-3hat k, vec b = -hat i + hat j + 2hat k, vec c = 4hat i + 3hat k

If line vec r=( hat i-2 hat j- hat k)+lambda(2 hat i+ hat j+2 hat k) is parallel to the plane vec r.(3 hat i-m hat k)=14 , then the value of m is (1). 2 (2) -2 (3) 0 (4) 3

Shortest distance between the lines: vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+u(2hat i+4hat j-5hat k)

vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

Find the shortest distance between the lines vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

Find lambda, when the projection of vec a=lambda hat i+ hat j+4 hat k\ on\ vec b=2 hat i+6 hat j+3 hat k\ i s\ 4\ units.