Hello , I need help in Algebra a, 6, c E R. \ be Which of the following are subspaces of the R3 (a, 0, 0) (a) The set of all vectors (2, 6, 2)", (b) the vectors of the shape (a, b, c)T (c) the vectors with c= a+b

Q: Determine if the vectors , and are linearly independent.

A:

Q: Find four different nonzero vectors that are orthogonal to v = (-1,5,2)

A: This is a simple problem based on orthogonal vector which could be solved by using basic knowledge…

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: Determine a vector that is perpendicular to (2,-5,-1) and (4,0,1).

A: The problem is asking us to find a vector that is perpendicular to two given vectors. In vector…

Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

Q: Using the vectors below, show (ā + b) x(ā – b) = 2(bx a) a = [4, –1,2] b = -} – 3k %3D

A: