Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
In a parallelogram, the vector from one vertex to another vertex is (9,-2)
So, the co-ordinate of first vertex will be (9,0).
And the coordinate of second vertex will be (0,-2).
As we know the formula for "Distance between two coordinates":
So, The length of the side is given by
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance=\sqrt{(9-0)^2+(0-(-2))^2}\\\\Distance=\sqrt{9^2+2^2}\\\\Distance=\sqrt{81+4}\\\\Distance=\sqrt{85}[/tex]
Hence, Second Option is correct.
Answer:
The length of the side of the parallelogram is [tex]\sqrt{85}[/tex].
Step-by-step explanation:
It is given that the vector from one vertex to another vertex is (9,-2), thus we can write it in the vector from that is [tex]v=9\hat{i}+(-2)\hat{j}[/tex] and let the another vertex is adjacent to it.
Now, in order to find the length of the side of the parallelogram, we use the absolute modulus that is [tex]|v|=\sqrt{a^{2}+b^{2}}[/tex].
Now, since v=(9,-2), thus [tex]|v|=\sqrt{(9)^{2}+(-2)^{2}}[/tex]
=[tex]\sqrt{81+4}[/tex]
=[tex]\sqrt{85}[/tex]
Thus, the length of the side of the parallelogram is [tex]\sqrt{85}[/tex].
