Find the vector and Cartesian equations of the line through the point `(5,\ 2,\ -4)` and which is pralel to the vector `3 hat i+2 hat j-8 k dot`

Find the vector and the Cartesian equations of the line through the point (5, 2, 4) and which is parallel to the vector 3 hat i+2 hat j-8 hat k .

Find the vector equation of a line through the point (5, 2, -4) and which is parallel to the vector 3 hat(i) + 2 hat(j) - 8hatk ?

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3 hat i+2 hat j-2 hat k .

Find the vector and Cartesian equations of the line through the point (1, 2, 4) and perpendicular to the two lines vec r=(8 hat i-19 hat j+10 hat k)+lambda(3 hat i-16 hat j+7 hat k) and vec r=(15 hat i+29 hat j+5 hat k)+mu(3 hat i+8 hat j-5 hat k)dot

Find the vector and cartesian equations of the line passing through the point P\ (1,\ 2,\ 3)\ and parallel to the planes vec rdot( hat i-\ hat j+2 hat k)=5\ and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 6 hat i+4 hat j-2 hat k .

Find the vector and Cartesian forms of the equation of the plane passing through the point (1,\ 2,\ -4) and parallel to the lines vec r=( hat i+2 hat j-4 hat k)+lambda(2 hat i+3 hat j+6 hat k)a n d\ vec r=( hat i-3 hat j+5 hat k)+mu( hat i+ hat j- hat k)dot Also find the distance of the point (9, -8, -10) from the plane thus obtained.

Find the vector and Cartesian equations of the line passing through (1, 2, 3) and parallel to the planes vec rdot(( hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.

Find the vector equation of the line passing through the point (1,2,3) and parallel to the vector 3hat(i) + lamda hat(j) - 2hat(k) .

Find the vector equation for the line which passes through the point (1, ,2 3) and parallel to the vector hat i-2 hat j+3 hat kdot reduce the corresponding equation in the Cartesian from.