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Question: please answer question 1 ad thank you...

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Please answer Question 1 (a-d). Thank you!

a In R3, a line through the origin can be written as s-((x,y,z)1x-at, y -bt, z- ct, where a, b,c are real numbers) Prove that S is a subspace of R3. Determine whether (1,1), (2,5) are linearly independent or linearly dependent. Verify that the following given basis in R4 is orthogonal: b c 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

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