PLEASEE HELP!
1 answer:
Answer:
Two non zero vectors, a and b are parallel when they are scalar multiples of each other such that a = c·b where c is a scalar quantity.
Therefore, in order to find a vector that is parallel to the vector, b = (-2, -1), we multiply the vector, b by a scaler quantity
Step-by-step explanation:
Given that the vector b = (-2, -1) can be written as follows;
b = -2·i - j, we have;
= √((-2)² + (-1)²) = √5
Therefore, we have;
The coordinates of the endpoint of the vector are (-2, 0) and (0, -1)
Therefore, the slope of the vector = (-1 - 0)/(0 - (-2)) = -1/2
The slope of parallel vectors are equal, which gives the slope of the parallel vector = -1/2 = (λ × (-1 - 0))/(λ ×(0 - (-2))
Therefore, a parallel vector is obtained from a vector by multiplying with a scaler product.
You might be interested in
Answer:
a. Ameribank-$15,157.50
b. Capital Two-$4,646.25
Step-by-step explanation:
a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:
#Ameribank
#Huffington( we use the effective rate to calculate the compound amount):
#Sixth-Third, Take 1 yrs=52 weeks:
#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.
b. We use the compound interest formula to determine which bank gives the best option:
#Capital Two. r=3.75%, n=12,t=4
#J.C Morgan, t=2, r=3.55% n=12
#Silverman Slacks, n=12,t=3, r=3.65%
We compare the investment amounts after t years:
Hence, Capital two is the best option with an investment amount of $4,646.25