Vector Displacement and Trigonometry Concepts

The video tutorial covers vector basics, including breaking vectors into horizontal and vertical components. It then applies this knowledge to a real-life problem involving a car's path, calculating displacement using Pythagoras' theorem, and determining the bearing of the displacement using trigonometry.

What are the two components into which a vector can be broken down?

• Scalar and Vector

• Horizontal and Vertical

• Magnitude and Direction

• Diagonal and Perpendicular

If vector W is the sum of vectors U and V, what does this imply about U and V?

• U and V are parallel

• U and V are the components of W

• U and V are perpendicular

• U and V are equal in magnitude

In the car's path problem, what is the direction of the first vector representing the car's movement?

• West

• East

• South

• North

How do you calculate the magnitude of a vector using Pythagoras' theorem?

• Divide the components and take the square root

• Subtract the components and take the square root

• Multiply the components and take the square root

• Add the squares of the components and take the square root

What is the magnitude of the car's displacement in the given problem?

• 25 km

• 15 km

• 70 km

• 50 km

What is the bearing of a vector?

• The length of the vector

• The angle it makes with the horizontal

• The angle it makes with the vertical

• The direction it travels in

How is the bearing of the net displacement calculated?

• Using the sine rule

• Using the cosine rule

• Using trigonometry with opposite and adjacent sides

• Using the law of tangents

What is the angle of the bearing of vector W from the north?

• 90 degrees

• 45 degrees

• 36.9 degrees

• 53.1 degrees

What trigonometric function is used to find the angle in the bearing calculation?

• Sine

• Secant

• Cosine

• Tangent

What is the opposite side length used in the trigonometric calculation for the bearing?

• 50 km

• 40 km

• 60 km

• 30 km