the vector equations of two lines L_1 and L_2 is given by
L_1 :r= i−j+3k + λ(i−j +k)
L_2 : r= 2i+aj + 6k + μ(2i + j + 3k)
where a,λ,μ are real constants.
given that L_1 and L_2 intersect find
a. the value of the constant a.
b. the position vector of the point of
intersection between L_1 and L_2
c. the cosine of the acute angle between L_1 and L_2
please help
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