Teaching Plan
Indicator: Determine the angle between the vectors in a two-dimensional space and three dimensions
Activity: Using a scalar multiplication formula vector to determine the angle between vectors Hint: Fill in the points below.
Scalar Multiplication Vector
If there are two vectors a ⃗ and b ⃗ and the angle between the two vectors is α (0≤α≤π), then: a ⃗.b ⃗ = | a ⃗ || b ⃗ | .cosα
In other words: cosα = (a ⃗.b ⃗) / (………
) Determining the Intervector Angle Note that a ⃗ = (■ (-2 @ 1 @ 3)) and b ⃗ = (■ (1 @ 3 @ 2)).
Determine: a ⃗.b ⃗ | a ⃗ | and | b ⃗ | The angle formed by the two vectors.
EXERCISE Calculate the angle between vectors u ⃗ = (■ (0 @ -4 @ 1)) and v ⃗ = (■ (√7 @ 1 @ 4)).
Determine the cosine angle between the following vectors. u ⃗ = (■ (0 @ 2 @ -√3)) with v ⃗ = (■ (√3 @ -3 @ 0)) a ⃗ = (■ (2 @ 1 @ -√3)) with b ⃗ = (■ (-2 @ √3 @ 1)) m ⃗ = (■ (4 @ -4 @ 2)) with n ⃗ = (■ (2 @ -2 @ 1))
Using a calculator (or a calculator on an HP), determine the number of angles formed by the vectors in question No. 2. Points A (4,7,0), B (6,10, -6), and C (1,9,0). (AB) ⃗ = u ⃗ and (AC) ⃗ = v ⃗. The BAC angle is the angle formed by vectors u ⃗ and v ⃗.
Determine the angle of BAC.
Book Package Page 163 No 2, 3, 4, 5, 6, 7, 9, 10.
Unlike in the Philippines where the Department of Education puts too much stress in making lesson plans with all its parts and contents...
In SMAN 1, most teachers including my supervising instructors only use semi-detailed lesson plans (on the left side as an example).
They usually just include the activities and a short discussion of the topic.