Express each vector as a Cartesian vector Remember that the

Express each vector as a Cartesian vector. Remember that the vector symbol gets a line over it, and each unit vector gets a A. Also remember to include units.

Solution

only just basic question is explained so people can try this answer

x+1=2x+1x=0x+1=2x+1x=0

y3=2y+1y=6y+3y=35y3=2y+1y=6y+3y=35

z32=z2z=32z=34z32=z2z=32z=34

So the point PP of the intersection is : P=(0,35,34)P=(0,35,34)

The parallel vectors to the lines are : n1=(1,3,1)n1=(1,3,1) and n2=(12,12,1)n2=(12,12,1).

A vector perpendicular to these 2 is : np=n1n2=(72,32,1)np=n1n2=(72,32,1)

np=(72,32,1)np=(72,32,1) will be the parallel vector of your line and your line passes through P=(0,35,34)P=(0,35,34).

So the equation of the line is : 2x7=2y+353=z+34