State whether the following statements are true or false: (a) If (-2,3) and (4,1

Question

State whether the following statements are true or false: (a) If (-2,3) and (4,1) are the initial and terminal points respectively then (-2,2) is the components of the vector. (a) (b) If theta = 180degree, be the angle between two vectors then these vectors are orthogonal. (b) (c) The set R^3 is a subspace of R^4. (c) (d) The set {(1,2,1), (0,1,4), (6,12,6)} of vectors in R^3 is linearly dependent. (d) (e) The basis of a vector space is not unique. (e) (f) If A is a 3 times 3 matrix such that |A| 0 then row vectors of A span R^3. (f)

Explanation / Answer

a .F

b. F

c .F

d. T

e. T

f. T

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