HARD
11th West Bengal Board
IMPORTANT
Earn 100

Three vectors A, B and C have magnitudes 5, 4 and 3 units respectively. If A=B+C, find the angle between A and C.

Important Questions on Scalars and Vectors

HARD
11th West Bengal Board
IMPORTANT
Show that the magnitude of (A×B) is equal to the area of a parallelogram whose adjoining arms are A and B.
HARD
11th West Bengal Board
IMPORTANT
You are given a vector A=4i^-5j^ where i^ and j^ are the unit vectors in the cartesian system of axes. Find any vector B which is perpendicular to A.
HARD
11th West Bengal Board
IMPORTANT
Find the vector area enclosed by the given vector A and the vectors B.
HARD
11th West Bengal Board
IMPORTANT
A=i^ cos θ+j^ sin θ and B=-i^ sin θ+j^ cos θ are two vectors. Find |A|, |B|, A·B and A×B.
HARD
11th West Bengal Board
IMPORTANT
Find the unit vector parallel to the resultant of two vectors a=i^+4j^+k^ and b=3i^-5j^+k^.
HARD
11th West Bengal Board
IMPORTANT
Find a unit vector perpendicular to each of the vectors A=3i^+2j^-k^ and B=i^+j^+k^   
MEDIUM
11th West Bengal Board
IMPORTANT
ABC is a triangle and AD is the median. AD and DC represent the vectors P and Q. What are the vectors represented by

AC.

MEDIUM
11th West Bengal Board
IMPORTANT
ABC is a triangle and AD is the median. AD and DC represent the vectors P and Q. What are the vectors represented by

BD.?