To determine vector E’s projection onto the direction of
vector F, the following formula can be applied:
E’s projection onto F is equal to (E dot F) / |F|
Let’s first determine the dot product of E and F: E dot F =
(2)(1) + (-3)(2) + (6)(2) = 2 – 6 + 12 = 8
The magnitude of vector F must then be determined: |F| = √(1² + 2² + 2²) = √9 = 3
We can now compute the forecast: E’s projection onto F
= (E dot F) / |F| = 8 / 3 ≈ 2.67
Consequently, the vector E projection onto the direction of
The vector F is roughly 2.67.
To determine vector E’s projection onto the direction of
vector F, the following formula can be applied:
E’s projection onto F is equal to (E dot F) / |F|
Let’s first determine the dot product of E and F: E dot F =
(2)(1) + (-3)(2) + (6)(2) = 2 – 6 + 12 = 8
The magnitude of vector F must then be determined: |F| = √(1² + 2² + 2²) = √9 = 3
We can now compute the forecast: E’s projection onto F
= (E dot F) / |F| = 8 / 3 ≈ 2.67
Consequently, the vector E projection onto the direction of
The vector F is roughly 2.67.
