Answer:
Page 1: 2u - 3v = < -7, 1 >
Page 2: < -7, 9 >
Step-by-step explanation:
Page 1: Given u and v, we need 2u - 3v. With vectors, you can multiply both terms by any scalar (the coefficient, i.e. 2u, the 2 is the scalar)
2u = 2<1, 2> = <2, 4>
3v = 3<3, 1> = <9, 3>
So 2u - 3v = <2, 4> - <9, 3> = <2 - 9, 4 - 3> = <-7, 1>
Page 2: The same steps apply, but when you see i and j, the coefficient of the i term is the x value, and the coefficient of the j term is the y value, so
3u - 2v = 3< 1, 1> - 2<5, -3> = <3, 3> - <10, -6> = <3 - 10, 3 - (-6)> = <-7, 9>
Answer to Q1:
2u-3v = <-7,1>
We have given two vectors.
u = <1,2> and v = <3,1>
We have to find 2u-3v.
2u-3v = ?
Vectors can be written as
u = i+2j and v = 3i+j
Putting values , we have
2u-3v = 2(i+2j)-3(3i+j)
2u-3v = 2i+4j-9i-3j
Adding like terms, we have
2u-3v = (2-9)i+(4-3)j
2u-3v = -7i+j
2u-3v = <-7,1> which is the answer.
Answer to Q2:
3u-2v = -7i+9j
u = i+j and v = 5i-3j
We have to find 3u-2v.
3u-2v = ?
Putting give values in above equation, we have
3u-2v = 3(i+j)-2(5i-3j)
3u-2v = 3i+3j-10i+6j
Adding like terms , we have
3u-2v = (3-10)i+(3+6)j
3u-2v = -7i+9j which is the answer.
The vertices are (-16,-5) and (14,-5)
The foci are (-26,-5) and (24,-5)
true
i hope that helped you
given, f=0.445 Kg
m=?
a=75 N
f=m x a
75=0.445 x m
75/0.445=x
168 Kg =m
The calculation of the mean shows that Jamie should not lose her job as she was faster after the talk from the boss.
The mean of the travel time in the first scenario will be:
= (18, 20, 22, 27, 16, 23, 25,26, 19, 28)/10
= 224/10
= 22.4
She she shows consistency, the mean will be:
= (22, 20, 22, 24, 24, 23, 25, 21, 19, 21)/10
= 221/10
= 22.1
Learn more about mean on:
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