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Engineering Physics · Q84

Mathematical Physics

Engineering and GATE · Engineering Physics · question 84

Q84

Consider the set of vectors; \[ 1 2 \] (1, 1, 0); \[ 1 2 \] (0, 1, 1) and \[ 1 2 \] (1, 0, 1).

Consider the set of vectors; (1, 1, 0); (0, 1, 1) and (1, 0, 1).
A.
The three vectors are orthonormal
B.
The three vectors are linearly independent
Answer
C.
The three vectors cannot form a basis in a three dimensional real vector space
D.
(1, 1, 0) can be written as a linear combination of (0, 1, 1) and (1, 0, 1)

Answer: Option B

Solution

Answer: Option B
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