Home
Class 12
MATHS
Find the vector and Cartesian equations ...

Find the vector and Cartesian equations of the plane passing through the point with position vector `2hat(i)+6hat(j)+3hat(k)" and normal to the vector "hat(i)+3hat(j)+5hat(k).`

Text Solution

Verified by Experts

The correct Answer is:
`vecr*(hati+3hatj+5hatk)=35`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.7|7 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.8|4 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.5|7 Videos
  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos
  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

Find the non-parametric form of vector equation and Cartesian equations of the straight line passing through the point with position vector 4hat(i)+3hat(j)-7hat(k)" and parallel to the vector "2hat(i)-6hat(j)+7hat(k).

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

The projection of the vector hat i + hat j + hat k along the vector hat j is

Find the parametric form of vector equation, and Cartesian equations of the plane containing the line vec(r)=(hat(i)-hat(j)+3hat(k))+t(2hat(i)-hat(j)+4hat(k))" and perpendicular to plane "vec(r)*(hat(i)+2hat(j)+hat(k))=8.

Forces of magnitude 5sqrt(2)and10sqrt(2) units acting in the directions 3hat(i)+4hat(j)+5kand10hat(j)+6hat(j)-8hat(k), respectively, act on a particle which is displaced from the point with position vector 4hat(i)-3hat(j)-2hat(k) to the with position vector 6hat(i)+hat(j)-3hat(k). Find the work done by the forces.

Find the projection of the vector hat i + 3 hat j + 7 hat k on the vector 7 hat i - hat j + 8 hat k .

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)a n d vec rdot(3 hat i+ hat j+ hat k)=6.