subject

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. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
A car travels 100 km north and then 100 km east. What is the magnitude of its displacement?
A force of 10 N acts at an angle of 30° to the horizontal. What is the vertical component of the force?
A person walks 3 km east and then 4 km north. What is the magnitude of the resultant displacement?
A vector has a magnitude of 10 units and makes an angle of 60° with the x-axis. What is its y-component?
A vector has a magnitude of 12 units and is directed at 37° above the x-axis. What is its x-component?
Define a scalar quantity and give two examples.
Define the term 'unit vector'.
Describe the parallelogram law of vector addition.
Explain the difference between distance and displacement.
Explain the triangle law of vector addition.
If a vector A has components Ax = 6 and Ay = 8, what is the magnitude of vector A?
If the magnitude of the resultant of two vectors is maximum, what is the angle between them?
If the sum of two vectors is zero, what can you say about their magnitudes and directions?
If two vectors are perpendicular to each other, what is the angle between them?
Is force a scalar or a vector quantity?
A particle moves from point A (2, 3) to point B (7, 11) in a coordinate plane. Calculate the displacement vector in terms of its components and its magnitude.
A ship sails 40 km due east, then 30 km due north, and finally 20 km due west. Calculate the magnitude of its resultant displacement from the starting point.
A vector is multiplied by a negative scalar. What happens to its magnitude and direction?
A vector of magnitude 15 units makes an angle of 45° with the positive y-axis. What are its x and y components?
If three vectors of equal magnitude are placed tail to tail and the angle between each pair is 120°, what is the magnitude and direction of their resultant?