The scalar operates only on the magnitude of the vector.
So the length of the vector may change ... becoming longer
or shorter ... but its direction doesn't change.
Answer:

Explanation:
Using Kepler's third law, we can relate the orbital periods of the planets and their average distances from the Sun, as follows:

Where
and
are the orbital periods of Mercury and Earth respectively. We have
and
. Replacing this and solving for

Answer:
The minimum total speed is 11.2km/s
Explanation:
We are been asked to find the escape velocity.
Escape velocity is defined as the minimum initial velocity that will take a body(projectile)away above the surface of a planet(earth) when it's projected vertically upwards.
The formula to calculate the escape velocity is Ve = √2gR
For the earth g = 9.8m/s2 , R = 6.4*10^6
Substituting into the equation Ve = √2*9.8*6.4*10^6 = 11.2*10^3m/s
=11.2km/s
Here is your answer:
First find the notations:
5.0×10^2=500.
1.0×10^3=1,000
Then you multiply:
1,000×500=500,000
Your answer is...
=500,000 or 5.0×10^4
it helps use less weight to pick up things and makes it way easier to work