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kotykmax [81]
4 years ago
9

if vector v has an initial point at (2,3) and a terminal point at (6,6) and vector w has an initial point at (3,2) and a termina

l point at (6,6), are the two vectors equivalent?​
Mathematics
1 answer:
Elanso [62]4 years ago
5 0
<h2>Not equivalent</h2>

Step-by-step explanation:

For any two vectors v_{1} and v_{2} to be equivalent,

their length and direction has the same.

Distance between two points (x_{1},y_{1}) and (x_{2},y_{2})

is \sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^{2}}

Length of v_{1} is \sqrt{(6-3)^{2}+(6-2)^{2}}=\sqrt{9+16}=\sqrt{25}=5

Length of v_{2} is \sqrt{(6-2)^{2}+(6-3)^{2}}=\sqrt{16+9}=\sqrt{25}=5

Slope of vector v joining (x_{1},y_{1}) and (x_{2},y_{2}) is \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

slope of v_{1} = \frac{6-3}{6-2} =\frac{3}{4}

slope of v_{2} = \frac{6-2}{6-3} =\frac{4}{3}

since slope of v_{1} is not equal to slope of v_{2},the vectors are not equivalent.

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