Write the value of `k` for which the line `(x-1)/2=(y-1)/3=(z-1)/(k)` is perpendicular to the normal to the plane ` vec rdot((2 hat i+3 hat j+4 hat k)=4.`

Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Determine the value of lambda for which the following plane are perpendicular to each other. vec rdot(( hat i+2 hat j+3 hat k)=7\ a n d\ vec rdot((lambda hat i+2 hat j-7 hat k)=26.

Determine the value of lambda for which the following plane are perpendicular to each other. vec rdot(( hat i+2 hat j+3 hat k)=7\ a n d\ vec rdot((lambda hat i+2 hat j-7 hat k)=26.

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

Find the vector equation of the line through the origin which is perpendicular to the plane vec rdot(( hat i+2 hat j+3 hat k)=3.

Write the vector equation of the line passing through the point (1, -2, -3) and normal to the plane vec rdot((2 hat i+ hat j+2 hat k)=5.

Write the vector equation of the line passing through the point (1, -2, -3) and normal to the plane vec rdot((2 hat i+ hat j+2 hat k)=5.