Answer:

Explanation:
The dot product of two vectors
and
is given by

The dot product of two orthogonal vector is always zero thus if
and
, their dot product would be




The correct answer was
98N
For Newtons 3rd Law Quiz K-12
Answer:
I am not really sure but i think its option 2
Explanation:
Answer:
a) No, Two vectors with different magnitudes can never add up to zero.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
Explanation:
a) No, Two vectors with different magnitudes can never add up to zero.
Given vector A and B
A = (x1,y1,z1) and B = (x2,y2,z2)
For A + B = 0
This conditions must be satisfied.
x1 + x2 = 0
y1 + y2 = 0
z1 + z2 = 0
Therefore, for those conditions to be meet the magnitude of A must be equal to that of B.
b) Yes, Three or more vectors with different magnitudes can add up to zero.
For example, three forces acting at equilibrium like supporting the weight of a person with two different ropes.
W = T1 + T2
Where;
W = Weight
T1 = tension of wire 1
T2 = tension of wire 2
Answer:
1.94601 rad/s
Explanation:
= Moment of inertia of carousel = 124 kgm²
= Angular speed of carousel = 3.5 rad/s
= Angular speed of person
r = Radius of carousel = 1.53 m
m = Mass of person = 42.3 kg
Moment of inertia of person

As the angular momentum is conserved in the system

The angular speed of the carousel after the person climbs aboard is 1.94601 rad/s