The dot product of two vectors is defined as the sum of the multiplication of each of its components.
We have then:
B = [2 8 .6 3]
A = [3 0 2 -1]
Making the product point:
BA = [2 8 .6 3] [3 0 2 -1]
BA = (2 * 3) + (8 * 0) + (0.6 * 2) + (3 * (- 1))
BA = 4.2
Answer
BA = 4.2
We can see a right triangle here.
Diagonal is a hypotenuse of the right triangle. Two legs are equal 102 yards each.
We can use Pythagorean theorem
hypotenuse² = leg² + leg² = 2leg²
hypotenuse² = 2leg²
√hypotenuse² = √(2leg²)
hypotenuse = leg*√2
hypotenuse = 102*√2≈144.25 yards
the diagonal ≈144.25 yards
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°