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Vector Components
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Question 1
1 a) Find the resultant force operating on the vector. Give your answer to 3 significant figures.
2 points
Your answer
1 b) Find the 3 figure bearing that the object will be moving along.
3 points
Your answer
Question 2
2 a) i) Vector a=xi+yj. Find the value of x correct to 4 significant figures.
1 point
Your answer
2 a) ii) Vector a=xi+yj. Find the value of y correct to 4 significant figures.
1 point
Your answer
2 b) ii) Vector b=xi+yj. Find the value of x correct to 4 significant figures.
1 point
Your answer
2 b) ii) Vector b=xi+yj. Find the value of y correct to 4 significant figures.
1 point
Your answer
2 c) Find the resulting force that is applied to the submarine. Round off to the nearest whole number.
2 points
Your answer
Question 3 a)
3 a) Find the value of p.
2 points
Your answer
Question 3 b)
3 b) Find the value of a, given a is a positive integer.
4 points
Your answer
Question 4
4 a) i) Find the magnitude of the force exerted by Horse 1. Give your answer to 3 significant figures.
2 points
Your answer
4 a) ii) Find the magnitude of the force exerted by Horse 2. Give your answer to 3 significant figures.
2 points
Your answer
4 b) i) Find the force exerted by Horse 1 on the canal boat. Give your answer to 3 significant figures.
2 points
Your answer
4 b) ii) Find the force exerted by Horse 2 on the canal boat. Give your answer to 3 significant figures.
2 points
Your answer
4 c) Give the force being exerted on the boat. Answer to the nearest integer.
1 point
Your answer
Question 5
5 a)
5 a) i) Find the value of x. Give your answer to the nearest integer.
1 point
Your answer
5 a) ii) Find the value of y. Give your answer to the nearest integer.
1 point
Your answer
5 b)
5 b) i) Find the value of x. Give your answer to the nearest integer.
1 point
Your answer
5 b) ii) Find the value of y. Give your answer to the nearest integer.
1 point
Your answer
5 c)
5 c) i) Find the value of acosq. Give your answer to the nearest integer.
1 point
Your answer
5 c) ii) Find the value of asinq. Give your answer to the nearest integer.
1 point
Your answer
5 c) iii) Find the value of a. Give your answer to the nearest integer.
2 points
Your answer
5 c) iv) Find the value of q. Give your answer to the nearest integer.
2 points
Your answer
5 d) Hence, find the force the boat must produce to sail in the intended direction.
2 points
Your answer
5 e) Find the 3 figure bearing the captain of the boat will set the course as in order to sail on the path of vector d.
2 points
Your answer
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