please help me Find the equation of the line through the following pairs of poin

Question

please help me

Find the equation of the line through the following pairs of points m space: (-8. 2,0), (1.3,6). Find the equation of the plane which contains the following points in space: (-8,2,0), (1,3,0), (6, -5,0). Label the following statements as true or false. The empty set 0 is a vector space. In any vector space, ax = ay implies that x = y. In any vector space, ax = ay only if x = y. In any vector space, ax = ay in case that x = y. If V is a vector space and W a subset of V that is a vector space, then W is a subspace of v. F The intersection S T of two subspaces s, T of a vector space V is a subspace but the union S T is in general not a subspace of V The span of Phi is Phi. Subsets of linearly independent sets are linearly independent. If M is a generating set then no proper subset can be generating. The zero vector is always linearly dependent.

Explanation / Answer

vector r=(-8-1)i+(2-3)j+(0-6)k

=-9i-j-6k

eqn of line------------> (x+8)/9=(y-2)/1=z/6

2- first we have to find the normal vector- i j k

-8 -1 0

-5 8 0

=-69k

eqn of plane----------z=0

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