5. How does the length of the long leg compare to the length of the short leg?
1 answer:
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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>.
Given:
A triangle ABC.
The given expression for b is:
To find:
The expression that is equivalent to b.
Solution:
According to the Law of Cosines,
It can be written as:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the required values are .