QUESTION 7 a) Suppose vector v = (a, 1), where a > 0, has a magnitude...

 

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QUESTION 7 a) Suppose vector v = (a, 1), where a > 0, has a magnitude of 2 units. i) Find the value of a and hence state the component form of v. ii) Determine the scalar between 2 v and 4 w. (3 marks) product of 2v 4w if w= (1, √3). Hence, find the angle (4 marks) b) Given that B(1,0), C(2, -9) and L(3,6 -2h). Find i) the unit vector in the same direction as BC. ii) the value of h such that CL is perpendicular to P = (5,-5). (3 marks) (4 marks) QUESTION 7 a) Suppose vector v = (a, 1), where a > 0, has a magnitude of 2 units. i) Find the value of a and hence state the component form of v. ii) Determine the scalar between 2 v and 4 w. (3 marks) product of 2v 4w if w= (1, √3). Hence, find the angle (4 marks) b) Given that B(1,0), C(2, -9) and L(3,6 -2h). Find i) the unit vector in the same direction as BC. ii) the value of h such that CL is perpendicular to P = (5,-5). (3 marks) (4 marks)

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