Answer:
49°
Step-by-step explanation:
Given vectors:
a = [-8, 6]
B = [√7, 3]
θ = ?
To find the angle between the two vectors, we will be using the formula,
a.B = |a||B|cosθ
For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.B = (-8, 6) . (√7, 3)
= (-8 × √7) + (6 × 3)
= -8√7 + 18
= 18 - 8√7
= 10√7
Calculating the magnitude the vectors
1. The magnitude of vector (-8, 6)




2. The magnitude of vector (√7, 3)




Calculating the angle between the vectors,
cosθ = 
cosθ = 
cosθ = 0.6614
θ = cos⁻¹0.6614
θ = 48.59°
θ = 49°
All the angles of a triangle add up to 180 degrees.
30+39+<4= 180
69+<4= 180
Subtract 69 on both sides.
<4= 111 degrees
<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.
111+<1= 180
<1= 69 degrees
I hope this helps!
<em>~kaikers</em>
Answer:
0.75m/s
Step-by-step explanation:
speed = d/t