Find the position vector of the point where the line
` vec r = hati - hatj +hatk + t (hati + hatj -hatk ) ` meets the plane ` vecr. (hati + hatj + hatk ) =5 `

Find the distance of the point (-1,-5,-10) from the point of intersecțion of the line vecr=(2 hati-hatj+2 hatk)+lambda(3 hati+4 hatj+ 2 hatk) and the plane vecr .(hati-hatj+hatk)=5

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hatj+hatk

Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 hatj+2 hatk)=4