[" 1.If the points "(1,1,p)" and "(-3,0,1)" be equidistant from the plane "vec r*(3hat i+4hat j-12hat k)+13=0],[" then find the value of "p.]

If the points (1,1,p) a n d (3, 0, 1) be equidistant from the plane vecr *(3 hat i+4 hat j-12 hat k)+13=0 , then find the value of p.

If the points (1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1) be equidistant from the plane vec rdot((3 hat i+4 hat j-12 hat k)+13=0 find the value of lambdadot

If the points (1,\ 1,\ lambda)a n d\ (-3,\ 0,\ 1) be equidistant from the plant vec rdot((3 hat i+4 hat j-12 hat k)+13=0 find the value of lambdadot

Find the distance of the point (3,4,5) from the plane vec r*(2hat i5hat j+3hat k)=13

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.

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.

Show that the points hat i-hat j+3hat k and 3(hat i+hat j+hat k) are equidistant from the plane vec r*(5hat i+2hat j+hat k)+9=0 and lie on opposite sides of it.

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

The distance of the point (1,-1,1) from vec(r)*(3 hat(i) - 4 hat(j)- 12 hat(k)) + 13 = 0 is

If vec a=3hat i+4hat j and vec b=hat i+hat j+hat k, find the value of |vec a xxvec b|