Important questions of Motion in a plane

 Important questions of motion in a plane 

Questions on Vectors- 

Q.1 What is the magnitude of the component of the 9î+9j+9k vector along x-axis ? 

Q.2 What is the minimum possible resultant of two forces 2N and 1N? 

Q.3 What is the maximum possible resultant of two forces 2N and 1N ? 

Q.4 Find the unit vector in the direction of the vectors-a) î + j + 2k, b) 2î+3j-2k 

Q.5 What is the vertical component of the force 5 N acting on a particle along a direction making an angle of 600?

Q.6 Find the dot product (a.b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j.

Q.7 A vector is represented as 4î + 3ĵ. What is its magnitude?

Q.8 What is the dot product of 2î + 4ĵ + 5k̂ and 3î + 2ĵ + k̂?

Q.9 What must be the value of ‘a’ in 2î + 2ĵ – ak̂ so that it is perpendicular to 5î + 7ĵ – 3k̂?

Q.10 What is the angle between the following pair of vectors?   A = î + ĵ + k̂,B = – 2î – 2ĵ – 2k̂

Q.11 What is cross product of a = 2i + 3j + 4k, b = 3i + 5j.

Q.12 Calculate the area of the triangle determined by two vectors

A = 3î + 4ĵ and B = – 3î + 7ĵ