Scalar vs. Vector
What is an important factor to consider in representing vector which means to shorten the quantity to be drawn without changing its magnitude?
Scaling
Mr. Orange goes for a run in a straight line. He starts at point A and runs 200 meters to point B, then turns around and runs back to point A. What is the distance covered by Mr. Orange?
400 meters
You are out for an early morning walk. You walk 5 m, South and 8 m, East. Then, you walk further and go 4 m, South and 3 m, East. You take a rest and then you walk 9 m, North. What is your distance travelled?
29 meters
Rachel is investigating the location of a hidden spring. The spring is 650 meters away at an angle of 55° East of North. To pinpoint the exact location, Rachel needs to calculate the vector components. What is the correct horizontal component?
372.82 meters
Scalar came from a Latin word scala which means steps or _________.
Ladder
Mr. Red bikes diagonally from his initial position. His route is shown in the illustration below. How far he is from his initial position?
The displacement is 1 500 km, 40 degrees W of S
Violet wants to add vectors with opposite directions. The direction of the first vector is North while the other one is South. The magnitude if the first vector is larger than the other. Which of the following will lead her to the correct resultant vector?
A. Add the vectors then change the direction.
B. Add the vectors then copy the given direction.
C. Subtract the vectors then the direction to be used is North.
D. Subtract the vectors then the direction to be used is South.
Subtract the vectors then the direction to be used is North.
You are out for an early morning walk. You walk 5 m, South and 8 m, East. Then, you walk further and go 4 m, South and 3 m, East. You take a rest and then you walk 9 m, North. What is your displacement?
11 meters, East
Rachel is investigating the location of a hidden spring. The spring is 650 meters away at an angle of 55° East of North. To pinpoint the exact location, Rachel needs to calculate the vector components. What is the correct vertical component?
532.45 meters
Vector came from a Latin word ________ which means to carry.
vehere
If the illustration shows a vector force of 200 N, how are you going to describe vector A?
A is 200 N, 50 degrees, N of E
What is the resultant vector when you add vector C and vector G?
22 meters, East
You are exploring a new park. You start at point A and walk 10 meters North to point B, then 6 meters East to point C. After a short break, you walk 4 meters South to point D. What is the distance travelled?
20 meters
Solomon is charting the path to a distant fortress. The fortress is located 900 km at an angle of 25° South of East. Solomon needs to find the vector components for his map. What is the x-component?
815.68 km
50 kg.m/s South, measure of momentum
Is this a VECTOR or SCALAR quantity?
VECTOR
If the illustration shows a displacement of 35 m for all the vectors, how are you going to describe vector B?
B is 35 meters, 45 degrees, N of W
What is the resultant vector when you add vector B and vector E?
77 meters, West
You are navigating through a historical site. Starting at the Temple, you walk 8 meters South to reach the Statue, then 12 meters East towards the Plaza, then 8 meters North to reach the Garden, and finally 12 meters West back to the Temple. What polygon is formed if you trace the path and return to the starting point?
Rectangle
Solomon is charting the path to a distant fortress. The fortress is located 900 km at an angle of 25° South of East. Solomon needs to find the vector components for his map. What is the y-component?
380.36 km
Tell whether the statement is TRUE or FALSE.
The parallelogram method is also known as the “head-to-tail” method. This method can be used to determine the resultant of two or more vectors.
FALSE
If the illustration shows a velocity of 50 km/h, how are you going to describe vector D?
D is 50 km/h to the South
What is the resultant vector when you add vector F and vector D?
17 meters, N of E
You are exploring a new park. You start at point A and walk 10 meters North to point B, then 6 meters East to point C. After a short break, you walk 4 meters South to point D. What is the displacement?
8.49 meters, East of North
If the horizontal component is 316.96 meters and the vertical component is 679.73 meters, what is the magnitude of the vector?
750 meters
Elizabeth runs around a circular track of radius 65 m at a speed of 2m/s. What is her displacement after finishing one round?