Answer:
5i +(5/3)j - (5/3)k
Step-by-step explanation:
Vector b is in the same direction as vector a, so it is a scalar multiple of a.
b = ca for some positive real number c.
b = c(3i + j - k) = 3ci + cj - ck
|b| = sqrt[(3c)^2 + c^2 - c^2] = sqrt(9c^2) = 3c
If |b| = 5, then 3c = 5 and c = 5/3
That makes b = (5/3)(3i + j - k) = 5i +(5/3)j - (5/3)k
1.76
Subtract 2.5 to 3/4 by dividing 3 to 4 getting the answer of 1.76
1.) 4, 2, 1, 1/2,1/4,... 2.) 2, 6, 18, 54, 162, … 3.) <span>−4, −16, −64, −256, … are geometric sequences because common ratio is same. Example: 1.) ratio of 1st and 2nd term is 1/2. similarly ratio of 3rd and 4th term is 1/2 and so on. </span>
Answer a = 5 and b = 2.
Procedure
Initially means x = 0, then
5 = a*b^0 = a*1 = a, then a = 5
When x = 1, the height is the double of 5, i.e 10 and
10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2
The a = 5 and b = 2, so the equation is y =5(2)^x
