I need help on question 4 please...and thank you
1 answer:
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Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that , or equivalently,
and
.
If and
, we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
?
So,
EXPLANATION
Since the circumference of the circle is 9.42, we can get the diameter by applying the following relationship:
Isolating the diameter:
Plugging in the numbers:
Therefore, the diameter is equal to 3 inches.