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Question: a find parametric equation for the line of intersection of...

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a Find parametric equation for the line of intersection of the planes 2x- 5y +z0 y- 0 Find the point of intersection of line y4z 12 and line 3-21, y 2-t x 1+61, z C Find an equation of the plane that contains the line -부부 у + 2 2-х 2-8 and is orthogonal to the plane 2x-4y-z= 16. d In R3, a line through the origin can be written as S yz)x- at, y -bt, ct, where a,b,c are real numbers) Prove that S is a subspace of R3 e Determine whether (1,1). (2,5) are linearly independent or linearly dependent. f Verify that the following given basis in R4 is orthogonal: Write u-(1,2,4,3) as a linear combination of this basis. Use the Gram-Schmidt orthogonalization process to construct an orthonormal basis for the subspace spanned by ul = (4,0,2,-1), u2 = (2, 1,-1,1),113-(1,1,-1,0).
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