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The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.
<h3>Linear equation</h3>A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
For RS:
For RT:
For ST:
The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.
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The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars (not all zero) such that
which leads to the system of linear equations,
From the third equation, we have , and substituting this into the second equation gives
and in turn, . Substituting these into the first equation gives
which tells us that any value of will work. If
, then
and
. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.