1.

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

Answer»

`barr=3hati+2hatj-8hatk+lambda(5hati+2hatj+4hatk),`
`(x-3)/(5)=(y-2)/(2)=(z+4)/(-4)`
`barr=3hati+2hatj+8hatk+lambda(5hati+2hatj-4hatk),`
`(x-3)/(5)=(y-2)/(2)=(z-8)/(-4)`
`barr=5hati+2hatj-4hatk+lambda(3hati-2hatj+8hatk)`
`(x-5)/(3)=(y-2)/(-2)=(z+4)/(-8)`
`barr=5hati+2hatj-4hatk+lambda(3hati+2hatj-8hatk)`
`(x-5)/(3)=(y-2)/(2)=(z+4)/(-8)`

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