Answer: A, Magnitude of 8 and direction angle equal to 0°
Step-by-step explanation:
Since vector u is only a straight line, there will be no angle, which means that answers B and D are automatically wrong.
Now, we’re going to use the distance formula to find the component form of vector u

Now we found the new coordinate, which is (8,0), and it is being extended from the origin with the same angle of 0°
Using the formula from above, we can find the magnitude of vector u

Hope I explained it well and hopefully this helps!
Answer:
Step-by-step explanation:
PQ*PQ=PQ²=(5x+16)²=25x²+160x+256
Simplified:
kx + x² + 3x + 3k
For AC:
AC= root((a-0)^2 + (b-0)^2)
AC= root((a)^2 + (b)^2)
For BD:
AC= root((a-0)^2 + (0-b)^2)
AC= root((a)^2 + (-b)^2)
AC= root((a)^2 + (b)^2)
Therefore,
AC=BD