Find the inner product of (4,9,-3), (-6, 7,5)and state whether the vectors are perpendicular.

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.