4-1. Locate the tip of a one-link robot of 10 in. length as a 2-D position vector with a direction of 30°. Draw the position vector and find its x- and y-components. Also, write P in both its rectangular and polar forms.

Q: Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M…

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Q: 4) Find the magnitude and direction of the vector i that has components v4 = –1525 and vy = -8402.

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Q: 6) Find the x- and y-components of the vector ở with magnitude |ū] = 16.4 cm/s², and direction 0 =…

A: Here, magnitude is 16.4 Direction is 156.5°

Q: Find a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: Sketch the vector v = -6i - 2j as a position vector and find its magnitude.

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Q: A balloon floats 18.5 kilometers east and then 24.6 kilometers north. What is the angle of the…

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Q: Convert the vector Ả = = pzsino a,+ 3pcos¢ a p + pcosø sinø az to RCS. Simplify your answer and show…

A: A vector in cylindrical coordinates can be written as A→=Aρaρ⏞+Aφaϕ⏞+Azaz⏞ A vector in cartesian…

Q: Suppose the vector t has magnitude 34 and makes an angle of 200° with the positive x-axis (measured…

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Q: Given the points A(2,6,0) and B(3,5,6) determine the equation of a line vector in parametrix form

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Q: Let a = (0, 2) and b = (- 5, 1). %3D %3D | Find the angle between the vector, in degrees.

A: Given vectors are: a→=0, 2 and b→=-5, 1

Q: The point P has coordinates a = 1 m and y = -1 m relative to the origin O and the vector v is as…

A: Orthogonal projection of a vector is component of a vector along a direction perpendicular to the…

Q: Find the vector having length v=12 and direction theta 60 degrees

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Q: 4. Sketch the vector with magnitude 10 and direction 115° in standard position and calculate its…

A: We have to draw the vector with magnitude and find its components.

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k. Q.2…

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Q: Question 4 Let a = 2i - 3j and b = -3j + 2k. Determine: (a) a · b (b) а хЬ (c) a unit vector that is…

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Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: 4) -16i + 30j

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Q: 4 3 Let U 4 and V = - 5 - 3 -2. Find the angle between the vectors (in radians).

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Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

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Q: Suppose the vector t has magnitude 48 and makes an angle of 239° with the positive x-axis (measured…

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Q: Given a vector à = 3a, + 2a, – 6as , determine the vector component of à tangential to the cone. O…

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Q: 3.) Find a vector with magnitude 12 in the direction of the vector w=-3i + 4j

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Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

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Q: 19. What is the radius vector of the point on the terminal side of an angle in standard position if…

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Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

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Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

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Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

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Q: 1/1 Determine the angles made by the vector V = 40i - 30j with the positive x- and y-axes. Write the…

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Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: Suppose the vector t has magnitude 64 and makes an angle of 243° with the positive x-axis (measured…

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Q: In graphics draw the Unitary vectors that we use in curvilinear movements: a) In Polar coordinates…

A: To draw: The unitary vectors that we use in curvilinear movements in: (a.) Polar coordinates (Radial…

Q: Find a parametric equation of the line M through p and q for the given values of p and q. [Hint: M…

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Q: Suppose the vector v has magnitude 31 and makes an angle of 339° with the positive x-axis (measured…

A: Given: v has magnitude 31 and the angle with the positive x-axis is 339° To find: v = a i + b j

Q: If a line is parallel to the vector 4i + 1j + 4k and passes through the point P = (3, 7,9), then the…

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Q: Question 2 a) Find the component form of the unit vector obtained by rotating the vector 135°…

A: (a)  From our trigonometry classes in precalculus, The coordinate of a point P on a circle of radius…

Q: 1.31. Find the vector directed from (10, 37/4, x/6) to (5, x/4, x), where the endpoints are given in…

A: Solution for the question 1.31 Image is attached with detailed solution.

Q: If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the…

A: The line which is parallel to the vector  ai + bj + ck and passes through (x1 , y1 , z1) has the…

Q: Suppose the vector v has magnitude 11 and makes an angle of 302° with the positive x-axis (measured…

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Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. Enter the vector i as i,…

A: here here we have

Q: Suppose a vector has magnitude 10 and a direction angle of 240°. Find the component form of the…

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Q: ) The magnitude of the vector a = 2i – 3j is

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Q: Sketch the vector v = 2i + 3j as a position vector and find its magnitude.

A: Given vector is v = 2i +3j. Draw the vector as shown below.

Q: A positron undergoes a displacement Ai = 2.02 – 3.03 + 6.Ok, ending with the position vector f3.0j -…

A: Any position vector, r→ is represented as r→=xi^+yj^+zk^ . Let two vectors be r1→=x1i^+y1j^+z1k^ and…

Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude

Q: b) let A = 3i + 2j – k, and B = i-j+2k find the: (a) Component form (b) magnitude (length) of the…

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