Answer:
- 1.07 ft
Explanation:
V1 = (-5, 7, 2)
V2 = (3, 1, 2)
Projection of v1 along v2, we use the following formula
=\frac{\overrightarrow{V1}.\overrightarrow{V2}}{V2}
So, the dot product of V1 and V2 is = - 5 (3) + 7 (1) + 2 (2) = -15 + 7 + 4 = -4
The magnitude of vector V2 is given by
= 
So, the projection of V1 along V2 = - 4 / 3.74 = - 1.07 ft
Thus, the projection of V1 along V2 is - 1.07 ft.
so we need to find the direction of v2
Answer : The correct option is, (D) 278 K
Explanation :
We are given temperature
.
Now the conversion factor used for the temperature is,

where, K is kelvin and
is Celsius.
Now put the value of temperature, we get

Therefore, the temperature 278 K is equal to the 
Let's calculate the average acceleration. It is the rate of changing speeds. Hence, we need to calculate the difference of speeds. 10-6=4 m/s. The rate is now

.
In general, the formula for the mean acceleration between two times 1 and 2 is given by:

where v1 and v2 are the speeds at the respective points and T is the time interval between them.
Electrical generator which operates using a magnetic field. It is the beginning of modern dynamos.
Answer:

Explanation:
<u>Sum of Vectors in the Plane</u>
Given two vectors

They can be expressed in their rectangular components as


The sum of both vectors can be done by adding individually its components

If the vectors are given as a magnitude and an angle
, each component can be found as


The first vector has a magnitude of 3.14 m and an angle of 30°, so


The second vector has a magnitude of 2.71 m and an angle of -60°, so


The sum of the vectors is


Finally, we compute the magnitude of the sum


