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Engineering Physics · Q40

Mathematical Physics

Engineering and GATE · Engineering Physics · question 40

Q40

Consider the set of vectors in three-dimensional real vector space R3, S = (1, 1, 1), (1, -1, 1), (1, 1, -1). Which one of the following statement is true?

A.
S is not a linearly independent set
Answer
B.
S is a basis for R3
C.
The vectors in S are orthogonal
D.
An orthogonal set of vectors cannot be generated from S

Answer: Option A

Solution

Answer: Option A
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