Question 1 (a) Figure 1 shows a circular cylinder with a 2 cm radius resting on the x-y plane with z-axis as its axis. Point P is on the surface of the cylinder and point Q, 6 cm directly below P, is on the x-y plane. If 0 find: (i) Vector OP in its components form. (ii) The coordinates of the midpoint M between O and P. (iii) Vector MQ. (iv) The area of triangle PMQ. (v) The angle OMQ using dot product. M y Figure 1 Q

Q: Question 1. of the line L that passes through the points (-1,3, 7) and (2, –1,3). (a) Find the…

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Q: Question 6 | Let i = (0, 1, -1), = (2,2,0) and w = (4, 2, 2). %3D a) Show that a, ö and w lie in the…

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Q: QUESTION 2 The y-coordinate of the initial point of the vector v=-2i-9j whose terminal point is…

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Q: Example 1. Find parametric equations for the line through (-2,0,4) parallel v = 2i + 4j – 2k.

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Q: Question # 4: Let and y = For what value(s) of h, is y in the plane generated by vi and va?

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: QUESTION 10 Let r(t)=(1-t2, 5t, 2t3). Find the z-component of the vector r'(4).

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Q: 1. Which of the following equations is an equation of a hyperboloid of two sheets? A. x^2 − y^2 −…

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: Question 6 Let ū = (0, 1, –1), ū = (2, 1, 0) and w = (4, 1, 1). a) Show that ū, ū and ū lie in the…

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Q: QUESTION 1 Let r (t ) = t i + e2t j + t3 k be a space curve. Which of the following vectors is…

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Q: QUESTION 5 Let A(-1, 3, 3), B(4, – 1, 0), C(5, 4, –7), and D(2. -1, –1). Find i. the normal vector…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and 6=. (a) Find the unit vector u…

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Q: Question 6 For the vector v whose initial point (-3, a) and terminal point(5,b). Also given b - a =…

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Q: Question 6 | Let ü = (0, 1,-1), 0 (2,2,0) and w (4, 2, 2). %3D a) Show that a, o and w lie in the…

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Q: Please help with the following math question. a) Give a vector parametric equation for the line…

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Q: 5. Find the parametric equations of a line through (1, 0, -1) and parallel to the line -(x-4) 1 y =…

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Q: Question 9 Let L be the line with parametric equations x=-9+3t =-4-3t ==-7 Find the vector equation…

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Q: (b) Two out-of-phase alternating voltages are represented by: V = 3.4sin (wt +=) and V, 1.3cos (wt…

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Q: QUESTION 1 For the parametric line L: x = 4+t, y = 3+t, z= 3-2t and the plane P: -y= x+ z + 2, then…

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Q: Question 6 Let ū = (0, 1, –1), ū = (2, 1,0) and w = (4, 1, 1). a) Show that ū, ū and w lie in the…

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Q: Find parametric equations for the line through (8,4,6) parallel to the x-axis. X = y = - o <t< ∞

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Q: Question 3 (25 pts.) Let W be the plane in R given by the equation r-y-z = 0. Write the vector v =…

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Q: Work Problem 2 [ 31 (a)[3 Find a vector equation and parametric equations for the line that passes…

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Q: QUESTION 2 What is the best descriptor of the object in three-dimensional space given by the…

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Q: 3. Find the Parametric Equations for the Curve. The line passing through (2, 6) and (3, 9).

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Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by…

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Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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