Home
Class 12
MATHS
The ratio in which the line segment j...

The ratio in which the line segment joining the points whose position vectors are `2 hat i-4 hat j-7 hat ka n d-3 hat i+5 hat j-8 hat k` is divided by the plane whose equation is ` hat rdot( hat i-2 hat j+3 hat k)=13` is a. `13 : 12` internally b. `12 : 25` externally c. `13 : 25` internally d. `37 : 25` internally

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

Show that the points whose position vectors are -2 hat i+3 hat j ,\ hat i+2 hat j+3 hat k\ a n d\ 7 hat i+9 hat k e collinear.

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

Find the value of mu if the points with position vectors hat i - hat j + 3 hat k and 3 hat i + 4 hat j+ mu hat k are equidistant form the plane hat r .(5 hat i + 2 hat j - 7 hat k )+ 8 =0

Find the vector and Cartesian equations of the line joining the points whose position vectors are (hat(i) -2hat(j) +hat(k)) " and " (hat(i) +3hat(j) -2hat(k))

Write the position vector of a point dividing the line segment joining points having position vectors hat i+hat j-2hat k and 2hat i-hat j+3hat k externally in the ratio 2:3 .

Find the position vector of point R which divides the line joining the points P and Q whose position vectors are 2 hat(i) - hat(j) + 3 hat(k) and -5 hat(i) + 2 hat(j) - 5 hat(k) in the ratio 3 : 2 (i) internally (ii) externally.

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

The ratio in which hat i+2hat j+3hat k divides the join of -2hat i+3hat j+5hat k and 7hat i-hat k is