[" Show that the Plare whose vector "],[" equation is "vec sigma*([1+25-k])=3" contains "],[" the line whose vector equation is "],[vec z=hat 1+hat jmath+lambda(2hat x+3+4hat k)]

Show that the plane whose vector equation is vec r*( hat i+2 hat j= hat k)=3 contains the line whose vector equation is vec r*( hat i+ hat j)+lambda(2 hat i+ hat j+4 hat k)dot

Show that the plane whose vector equation is vec r*(hat i+2hat j=hat k)=3 contains the line whose vector equation is vec r*(hat i+hat j)+lambda(2hat i+hat j+4hat k)

Show that the plane whose vector equation is vec rdot( hat i+2 hat j- hat k)=1. and the line whose vector equation is vec r=(- hat i+ hat j+ hat k)+lambda(2 hat i+ hat j+4 hat k) are parallel. Also, find the distance between them.

Show that the plane whose vector equation is vec r*(hat i+2hat j-hat k)=1. and the line line whose vector equation is vec r=(-hat i+hat j+hat k)+lambda(2hat i+hat j+4hat k) are parallel.Also,find the distance between them.

Show that the plane whose vector equation is vec r . (hat i +2 hat j −hat k ) =3 contains the line vec r=( hat i+ hat j)+lambda(2 hat i+ hat j+4 hat k)dot ​

Show that the line whose vector equation is vec r*(2hat i+5hat j-7hat k)+lambda(hat i+3hat j+4hat k) is parallel to the plane whose vector equation is vec r*(hat i+hat j-hat k)=7. Also find the distance between them.

show that the line whose vectors equation is vec r=(2hat i-2hat j+3hat k)+lambda(hat i-hat j+4hat k) is parallel to the plane whose vectors equation is vec r*(hat i+5hat j+hat k)=5. Find also the distance between them.

Show that the line whose vector equation is vec r=(2 hat i-2 hat j+3)+lambda( hat i- hat j+4 hat k) is parallel to the plane whose vector equation vec r( hat i+5 hat j+ hat k)=5 . Also, find the distance between them.

Show that the line whose vector equation is vec r=(2hat i-2hat j+3)+lambda(hat i-hat j+hat 4hat k) is parallel to the plane whose vector equation vec r*(hat i+5hat j+hat k)=5. Also,find the distance between them.

Image of the point P with position vector 7hat(i) - hat(j) + 2hat(k) in the line whose vector equation is vec(r) = 9hat(i) + 5hat(j) + 5hat(k) + lambda(hat(i) + 3hat(j) + 5hat(k)) has the position .