Write the vector equation of a line through the point (1,2,3) and parallel to the vector `3overset^i+2overset^j-2overset^k`

Write the unit vectors parallel to the vector 3overset^i+overset^j-2overset^k .

What is the equation of the line passing through the point (1,2,3)and parallel to the vector 3hati+2hatj-2hatk

Find the direction cosines of the line (x + 2)/2 = (2y-7)/6 = (5 -z)/6 Also find the vector equation of the line passing through the point (-1, 2, 3) and parallel to the given line.

Write the vector equation of the line passing through the point (1, 2, 3) and perpendicular to the plane r.(hat(i) + 2hat(j) - 5hat(k)) + 9 = 0 .

Find the vector of magniltude 5 units and parallel to the resultant of the vectors oversetrarra=2overset^i+3overset^j-overset^k and oversetrarrb=overset^i-2overset^j+overset^k then find the angle between oversetrarra+oversetrarrb and oversetrarra-oversetrarrb .