Question

find the vector equation of the line passing through the point 2i+3j+k and parallel to the vector 4i-2j+3k​

Answer 1

Answer:

The line passes through the point,

a

=2

i

^

+3

j

^

+

k

^

Step-by-step explanation:

And parallel to the line,

b

=4

i

^

−2

j

^

+3

k

^

The vector equation of the line passing through a point and parallel to the given line is,

r

=

a

+λ

b

Substituting the values, we get,

r

=(2

i

^

+3

j

^

+

k

^

)+λ(4

i

^

−2

j

^

+3

k

^

)

r

=(2+4λ)

i

^

+(3−2λ)

j

^

+(1+3λ)

k

^

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