WorksheetsKinematics-3
Total questions: 14
Worksheet time: 7mins
For two vectors A and B, what is A.B (if they have an angle α between them)?
|A||B| cosα
|A||B|
√(|A||B|) cosα
|A||B| sinα
What is Distributive law?
A.B =B.A
a(A.B) = A.(a B)
A.(B+D) = (A.B) + (A.D)
d) a(A.B) = A x B
Which is true for two vector A = A1i + A2j + A3k and B = B1i + B2j + B3k?
A.B = A1B1 + A2B2 + A3B3
AxB = A1B1 + A2B2 + A3B3
A.B = A1B2 + A2B3 + A3B1
AxB = A1B2 + A2B3 + A3B1
What is k.i?
0
1
-1
∞
What is {(i.i) + (-i.j) + (-k.k) + (k.i)}.(Ai +Bj + Cz)?
1
0
A+B+C
-1
α = cos-1(A.B/AB). What is the range of α?
0˚<α<90˚
0˚<α<180˚
90˚<α<180C
0˚<α<45˚
Cross product is a mathematical operation performed between ________________
2 scalar numbers
a scalar and a vector
2 vectors
any 2 numbers
What is the magnitude of the resultant of the cross product of two parallel vectors a and b?
|a|.|b|
|a|.|b| cos(180)
|a|.|b| sin(180)
1
Which of the following equals a x b ( a and b are two vectors)?
– (a x b)
a . b
b x a
– (b x a)
The resultant vector from the cross product of two vectors is _____________
perpendicular to any one of the two vectors involved in the cross product
perpendicular to the plane containing both vectors
parallel to any one of the two vectors involved in the cross product
parallel to the plane containing both vectors
What will be the cross product of the vectors 2i + 3j + k and 3i + 2j + k?
i + 2j + k
2i + 3j + k
i + j – 5k
2i – j – 5k
When two vectors are perpendicular, their
the dot product is zero
the cross product is zero
both are zero
both are not necessarily zero
The work done of vectors force F and displacement d, separated by an angle θ can be calculated using
cross product
dot product
addition of two vectors
cannot be calculated
A × B = A . B then
the angle between A and B will be
π
π/2
π/3
π/4
