Question

1.The Vector Product or otherwise know Cross Product of two vectors is itself another vector. When is the product zero?

2.How does one find the resultant vector of multiple vectors added together?

3.The change in displacement divided by the time interval over which the change in displacement occurs is known as what?

4.The change in velocity divided by the time interval in which the change in velocity occurs is known as what?

5.The constant acceleration of a freely falling object is called the ______?

6. In “Ideal” Projectile motion (No air resistance) how does the velocity in the horizontal direction behave throughout the flight of an object? And what is the flight path known as?

7.Acceleration of an object in uniform Circular motion is radial, what does this mean? And what is it sometimes called?

Answer 1

Solution) (1) The vector product is zero when two vectors are parallel to each other .

So if one vector let's say , A = a(i) that is along (i) direction

And another vector , B = b(i) is also along (i) direction , then

A×B = a(i)×b(i) = ab(i×i) = 0

A×B = 0

So vector product is zero .

(2) When multiple vectors are added together , then resultant is obtained using square root of squares of sum .

Let vector, A = a(i)

Vector , B = b(j)

Vector , C = c(k)

Sum = A + B + C

Sum , R = a(i) + b(j) + c(k)

Resultant, R = ((a^2) + (b^2) + (c^2))^(1/2)

(3) The change in displacement divided by time interval is called VELOCITY .

V = (dS)/(dt)

dS is change in displacement

dt is change in time

(4) The change in velocity divided by time interval is ACCELERATION .

a = (dV)/(dt)

dV is change in velocity

dt is change in time

(5) The constant acceleration of a freely falling object is ACCELERATION DUE TO GRAVITY .

* kindly post next questions in next post