Scalars and Vectors
Physics ⇒ Mechanics
Scalars and Vectors starts at 8 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Scalars and Vectors.
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See sample questions for grade 10
A boy walks 6 m west, then 8 m south. What is his displacement from the starting point?
A car travels 100 km north and then 100 km east. What is the magnitude of its displacement?
A person walks 4 m east and then 3 m north. What is the magnitude of the displacement?
A vector has a magnitude of 10 units and makes an angle of 60° with the x-axis. What are its x and y components?
Define a scalar quantity and give two examples.
Define a vector quantity and give two examples.
Describe how to subtract one vector from another using the parallelogram law.
Explain the difference between distance and displacement.
Explain the triangle law of vector addition.
If two vectors are acting at 90° to each other, what is the magnitude of their resultant?
If two vectors of equal magnitude act at an angle of 120° to each other, what is the magnitude of their resultant?
Is momentum a scalar or a vector quantity?
Is work a scalar or a vector quantity?
A boat is trying to cross a river that flows east at 5 m/s. The boat heads due north at 12 m/s relative to the water. What is the magnitude and direction of the boat’s velocity relative to the ground?
A plane flies 200 km due north, then 150 km due east. Calculate the magnitude and direction (with respect to north) of its resultant displacement.
A vector has components 7 units along the x-axis and 24 units along the y-axis. What is the magnitude and direction of the vector with respect to the x-axis?
A vector of magnitude 12 units makes an angle of 37° with the positive x-axis. Calculate its x and y components (to two decimal places).
Describe the conditions under which the resultant of two vectors is maximum and minimum.
Explain, with an example, how two non-zero vectors can have a resultant of zero.
If the sum of two vectors of equal magnitude is perpendicular to one of them, what is the angle between the two vectors?
