Home
Class 12
MATHS
Find the coordinates of the foot of perp...

Find the coordinates of the foot of perpendicular drawn from the point `2hati - hatj + hat5k` to the line `bar(r) = (11hati + 2hatj - 8hatk) + lamda ( 10 hati - 4hatj - 11hatk)`. Also , find the length of perpendicular .

Text Solution

Verified by Experts

The correct Answer is:
(1,2,3),`sqrt14`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section C|8 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER III

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

The position vector of the foot of the perpendicular draw from the point 2hati-hatj+5hatk to the line vecr=(11hati-2hatj-8hatk)+lamda(10hati-4hatj-11hatk) is

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

Find the co-ordinates of the foot of perpendicular and the length of the perpendicular drawn from the point P (5,4,2) to the line : vec(r) = hati + 3 hat(j) + hat(k) + lambda ( 2 hat(i) + 3 hatj - hatk ) . Also, find the image of P in this line.

Find the co-ordinates of the foot of perpendicular and length of perpendicular drawn from point (hati+6hatj+3hatk) to the line vecr = hatj+2hatk+lambda(hati+2hatj+3hatk) .

Find the distance of the point hati + 2hatj - hatk from the plane barr*(hati - 2hatj + 4hatk) = 10 .

Find the distance of the point 2hati + hatj + hatk) from the plane barr *(hati + 2hatj +4hatk) = 13 .

If p_(1) and p_(2) are the lengths of perpendiculars from the points hati - hatj + 3hatk and 3hati + 4hatj + 3hatk to the plane barr *(5hati + 2hatj - 7hatk) + 8 = 0 , then

Find the length of the perpendicular drawn from the point (5, 4, -1) to the line vecr=hati+lamda(2hati+9hatj+5hatk) , where lamda is a parameter.

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines r=(hati+hatj)+lambda(hati+2hatj-hatk)" and "r=(hati+hatj)+mu(-hati+hatj-2hatk) is