Question

What is the span of
(i) x-axis and y-axis in V3 ?​

Answer 1

SOLUTION

TO DETERMINE

The span of x-axis and y-axis in V3

EVALUATION

We know that the smallest subspace containing a finite set S of vectors of a vector space V is said to be linear span of S and is denoted by L(S)

Now any point on x axis in V3 is of the form (x, 0,0)

Now (x, 0,0) = x(1,0,0)

So (1,0,0) is the span of x-axis in V3

Again any point on y axis in V3 is of the form (0, y,0)

Now (0, y,0) = y(0,1,0)

So (0,1,0) is the span of y-axis in V3

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