4. If 𝑣 = (0,3,4), then find ‖𝑣 ‖.(from mid exams)

5. Find the unit vector of u = (6j +8k)?

6. The dot product of two vectors u&v is minimum, what is the angle between them.(from mid exams)

7. : If⃗𝑢 = 𝑖 − 2𝑗 + 3𝑘 𝑎𝑛𝑑 𝑣 = 〈0,1, −5〉, then find,
(𝑢⃗ + 𝑣 ) ∙ 𝑣 and 𝑢⃗ ∙ 𝑣 tespectively?

8. Find the angle between the vectors 𝑢⃗ = 〈1,3, −1〉 𝑎𝑛𝑑 𝑣 = (2,1,-1).(from mid exams)

9. Find the value (s) of 𝑥 such that the vectors 𝐴 = (1 ,4, 3) and Β = (𝑥, −1, 2) are orthogonal.

11. The area of the triangle whose vertices are (1,-1,2), (3,1,-1) and (0,2,1) is approximately ——————— square units.(from aau mid exams)

1. What refers by meant emerging technologies?

2. ___________ is a theory of radical transformation of society thrugh tchnoloical development.

3.The root of the word technology is comes from _________ word. And it meas __________.(from mid exams)

4. From the following technology all are emerging tech's except.

5. What is the main(core) concept of industrial revolution?

6. In the history of the world's revolution in industry the second revolution is emerge in America between:

7. What is the main inovations in the first IR.(from mid exams)

8. From the following one is odd which is:

9. What is the main cause for the industrial revolution that begins in England in 18th century:

10. From the following one is the primary industry?