Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
GivenavectorbR3,letU={xR3 :bx=0}. (Here denotes the cross product of two vectors.) i) Prove that U is a subspace of R3. 1 ii) If b = 2 , write down a...
Givenavectorb∈R3,letU={x∈R3 :b×x=0}.
(Here × denotes the cross product of two vectors.) i) Prove that U is a subspace of R3.
−1 ii) If b = 2 , write down a basis for U, giving reasons.
3
