The two different points on a segment joining the United States Capital and the White House such that the ratio of the vector distance created by each is 1 : 3 are C1 = (-1, 7) and C2= (-7, 13)
At first we need to calculate the vector distance between and by following vectorial subtraction:
Where:
- Vector distance between points A and B, dimensionless.
, - Vector distance between each point and origin, is dimensionless.
If we know that and, then we have the following result:
AB= (-10, 16)- (2,4)
AB = (-10-2,16-4)
AB = (-12, 12)
Where:
- Segment factor, dimensionless.
- Location of resulting point, dimensionless.
There are two options for the location of the resulting point: and. Now we proceed to find each option:
Ci -(2.4)+(-12,12)
Ci =(2,4)+ (-3,3)
C= (-1,7)
ra-3/4
Ca =(2,4)+:(-12, 12)
Ca= (2,4) + (-9,9)
Ca=(-7, 13)
In mathematics and physics, a vector is a term that colloquially refers to a quantity, or element of a vector space, a single number cannot represent that.
Learn more about vector here: brainly.com/question/25705666
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