Hence, the value of 8u is:
-56i-16j.
In vector form it could be represented as:
<-56,-16>
We are given a vector u as:
u=<-7,-2> where -7 represent the x-component and -2 represent the y-component.
Or this vector could also be represented in terms of i and j as:
u= -7i-2j; where i and j represent the unit vectors in the direction of x and y axis respectively.
Now the value of the vector 8u is:
8u=8(-7i-2j)
⇒ 8u=8×(-7)i+8×(-2)j
⇒ 8u=-56i-16j
Hence the value of the vector 8u is:
-56i-16j.
In vector form it could be represented as:
<-56,-16>
Answer:
8u = <-56,-16>
Step-by-step explanation:
We have given a vector.
u = <-7,-2>
We have to find Multiplication of a constant 8 and a vector u.
8u = ?
A vector <a,b> can be written as ai+bj where i and j are unit vectors along the direction x and y-axis respectively.
Hence, u = -7i-2j
8u = 8(-7i-2j)
Distribute 8 over the parentheses
8u = 8(-7i)+8(-2j)
8u = -56i-16j
We can also write,
8u = <-56,-16> which is the answer.
