Let a and b be real numbers. Find all vectors (2,a, b) orthogonal to (1, -5, -4). What are all the vectors that are orthogonal to (1, - 5, - 4)? Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. Vectors of the form (2,a, b), where (a, b)= (Type an ordered pair. Use a comma to separate answers as needed.) B. Vectors of the form (2,a, ), where a is any real number (Type an expression using a as the variable.) C. There are no vectors of the form (2,a, b), where a and b are real numbers.

B) vector of the form (2,r, (2-5r)/4)

Step-by-step explanation:

(2,b,c) is orthogonal to (1,-5,-4) if

2*1-5b-4c=0, i.e,

5b+4c=2

We have equation with two variables, so we know that we wil have infinity lot solutions.

Let’s b be some real number r, so we have:

4c=2-5r, i.e,

c=(2-5r)/4.

So there is infinite lot of othogonal vectors of the form: (2, r, (2-5r)/c)) where r is any real number.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500