Question # A line passes through the point (3,4,5) and is parallel to the vector ( (2 hat{i}+2 hat{j}-3 hat{k}) . ) Find the equations of the line in the vector as well as

# A line passes through the point (3,4,5) and is parallel to the vector ( (2 hat{i}+2 hat{j}-3 hat{k}) . ) Find the equations of the line in the vector as well as

Cartesian form.

Solution

vector form

[

hat delta=vec{a}^{prime}+overrightarrow{j b}

]

( vec{gamma}=(3 T+4hat j +s hat{k})+d(2hat i+2hat j-3hat k) )

Castran ( frac{x-3}{2}=frac{y-4}{2}=frac{2-5}{-3} )