Home
Class 12
MATHS
Let A,B,C be points with position vector...

Let A,B,C be points with position vectors `r_1=2hati-hatj+hatk,r_2=hati+2hatj+3hatk` and `r_3=3hati+hatj+2hatk` relative to the origin O. Find the shortest distance between point B and plane OAC.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-II|6 Videos

  • VECTOR

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|49 Videos

  • VECTOR

    FIITJEE|Exercise EXERCISE 7|2 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Let A, B, C be points with position vectors r_(1)=2hati-hatj+hatk, r_(2)=hati+2hatj+3hatk and r_(3)=3hati+hatj+2hatk relative to the origin 'O'. The shortest distance between point B and plane OAC is

Let A,B,C be points with position vectors 2hati-hatj+hatk,hati+2hatj+hatkand 3hati+hatj+2hatk respectively. Find the shortest distance between point B and plane OAC.

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

Three point A, B and C with position vectors a_(1)=3hati-2hatj-hatk, a_(2)=hati+3hatj+4hatk and a_(3)=2hati+hatj-2hatk relative to an origin O. The distance of A from the plane OBC is (magnitude)

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is

Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hatk and hati+hatj+hatk .

Find the scalar triple product of vectors hati+2hatj+3hatk, -hati-hatj+hatk and hati+hatj+hatk .