HARD
11th West Bengal Board
IMPORTANT
Earn 100

Two vectors acting in opposite directions have a resultant of 10 units. If they act at right angles to each other, their resultant is 50 unit. Calculate the magnitudes of the vectors ?

Important Questions on Scalars and Vectors

HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 3
A car is driven eastward for a distance of 50 km, then northward for 30 km and then in a direction 30° east of north for 25 km. Draw the vector diagram and determine the total displacement of the car from its starting point.
MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 4
What is the angle between two equal vectors so that their resultant is one-third of any one of the vectors?
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 5
At what angle do the vectors of magnitude A+B and A-B act, so that the magnitude of their resultant is 3A2+B2 ?
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 6
Show that two vectors of equal magnitude have a resultant which bisects the angle between the component vectors.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 7

Two vectors of magnitude 2P and P are inclined to each other at a certain angle. If the first vector is doubled, then the resultant vector is increased three times. Calculate the angle between the two vectors.

MEDIUM
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 8
Show that the sum and difference of two equal vectors inclined to each other at 90° are equal and that they are also at right angles to each other.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 9
A steamer is moving due north with a velocity 10 kmh-1. On the deck of the steamer, a passenger is walking due east with a velocity 4 kmh-1. In what direction and with what velocity will the passenger appear to move to a person standing on the bank of the river?
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 4 - Scalars and Vectors>EXERCISE>Q 10
A boat is being rowed at a velocity of 8 km/hr in a direction normal to the river flow. The resultant of the velocities of boat and the river flow is 10 km/hr. What is the velocity of river flow ?