MCV4UB_UNIT7_JENNYLONG.docx - Jenny Long MCV4UB Calculus...

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Jenny Long MCV4UB: Calculus and Vectors Assessment- Unit 7 (24%) Task 1: knowledge and understanding questions1)Determine the angle between each of the following pairs of vectors (10 marks: 5 marks each)
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°2)Find the slope of the vector that is perpendicular to the scalar equation 6x=3y+2=0(2 marks)
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23)Write an alternative vector equation for the following line and change the point and the direction vector (3 marks)
4)Determine whether the angle between each of the following pairs of vectors is acute, obtuse or neither (4 marks: 2 marks each)
5)Given the vector equation of a line in 2-space (x, y)=(3,2)+t(2,4,), write a scalar equation for the line (4 marks)
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6)Write a vector equation for the line that passes through the point P (-1, 0, 3) and is parallel to the y-axis (2 marks)
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)Task 2: Thinking Questions7)Given u=(4,1,1),v=(1,3,1)w=(2,5,13)demonstrate that u,vwareall perpendicular to each other (4 marks)
v
u∙
w
w
8)Write the vector and parametric equations for the line that goes through points

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