Correct Answer: A. a dynamo

Correct Answer: D. existing administration farvoured the system

Explanation

\(R_{1} = \begin{pmatrix} -20 \cos 60° \\ -20 \sin 60° \end{pmatrix} ; R_{2} = \begin{pmatrix} -10 \cos 60° \\ 10 \sin 60° \end{pmatrix} \)

\(R_{3} = \begin{pmatrix} 8\sqrt{2} \cos 45° \\ 8\sqrt{2} \sin 45° \end{pmatrix}\)

\(R = R_{1} + R_{2} + R_{3}\)

\(R = \begin{pmatrix} -20 \cos 60° \\ -20 \sin 60° \end{pmatrix} + \begin{pmatrix} -10 \cos 60° \\ 10 \sin 60° \end{pmatrix} + \begin{pmatrix} 8\sqrt{2} \cos 45° \\ 8\sqrt{2} \sin 45° \end{pmatrix}\)

\(R = \begin{pmatrix} -20 \times \frac{1}{2} \\ -20 \times \frac{\sqrt{3}}{2} \end{pmatrix} + \begin{pmatrix} -10 \times \frac{1}{2} \\ 10 \times \frac{\sqrt{3}}{2} \end{pmatrix} + \begin{pmatrix} 8\sqrt{2} \times \frac{1}{\sqrt{2}} \\ 8\sqrt{2} \times \frac{1}{\sqrt{2}} \end{pmatrix}\)

= \(\begin{pmatrix} - 10 - 5 + 8 \\ -10\sqrt{3} + 5\sqrt{3} + 8 \end{pmatrix}\)

= \(\begin{pmatrix} -7 \\ 8 - 5\sqrt{3} \end{pmatrix} = \begin{pmatrix} -7 \\ -0.66 \end{pmatrix}\)

Let \(\theta\) be the direction from the horizontal.

\(\tan \theta = \frac{-0.66}{-7}\)

\(\tan \theta = 0.0943\)

\(\theta = \tan^{-1} (0.0943) = 5.39°\)

Explanation

(a)Process of meiotic division:

(i) In the prophase of first meiotic division, there is formation of chiasma. Variation occurs from the number and position of chiasmata formed. This determines the different combination that is possible in genes relative to the sequence of genes on the chromosomes.

(ii) In the metaphase of the first meiotic division, segregation of chromosomes occurs. This results in mixing of genes from different individuals carried on different chromosomes which now result in variation between parents and offsprings or among offsprings. Mixing of genes is known as crossing over.

(b)(1)Mendel's first law called law of segregation of genes states that characters of an organism are controlled by genes occurring in pairs which are independently transmitted in gametes from one generation to another without undergoing any alteration.

(ii) The second law known as independent assortment of genes states that character behaves as a separate unit and is inherited independent of another character.

Correct Answer: B. production of palm oil

Correct Answer: B. decision making

Correct Answer: A. federal inland revenue councils

Correct Answer: D. preventing adultery

Correct Answer: C. employment

Correct Answer: A. type of soil