Step-by-step explanation:
That is the answer if the equation looks like this:
Find the sum of the given vectors and illustrate geometrically. [-1,4],[6,-2]
1 answer:
Answer:
The sum of vectors is <5,2>.
Step-by-step explanation:
The given vectors are <-1,4> and <6,-2>.
We need to find the sum of the given vectors and illustrate geometrically.
Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).
Plot the point (6,-2) on a coordinate plane and draw a vector <b> from (0,0) to (6,-2).
Now complete the parallelogram and the diagonal represents the sum of both vectors.
The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.
Check the sum of vectors:
Therefore, the sum of vectors is <5,2>.
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Answer:
6.31 mi
Step-by-step explanation:
The diagram below explains the solution better.
From the diagram,
C = starting point of the race.
A = end of the first part of the race.
B = end of the race.
Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.
Cosine rule states that:
where A = angle A = <A
Given that
b = 5.2 miles
c = 2.0 miles
<A = 115° (from the diagram)
Hence,
The straight-line distance between the starting point and the end of the race is 6.31 mi
