A positron undergoes a displacement Ai = 2.02 – 3.03 + 6.Ok, ending with the position vector f3.0j - 4.0k, in meters. What was the positron's initial position vector?

Q: Solve the resultant of the following vectors: 20.0 m at 30.0°, 40.0 m at 120.0°, 25.0 m due West,…

A: Given: AB→ = 20.0m at 30.0°BC→ = 40.0m at 120.0°CD→ = 25.0m at 180.0°  Due WestDE→ = 12.0m at 315.0°…

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

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: Explain how you would convert the vector a = 5 km with a bearing of 135° in Cartesian form.

A: Given a→=5 km and bearing of vector θ=135°

Q: Determine the length of the crankshaft AB by first formulating a Cartesian position vector from A to…

A: Let us first write the Cartesian position vector from A to B like…

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

A:

Q: A small plane is flying north in calm air at 250 mph when it encounters a horizontal crosswind…

A: Given data The plane is flying north in calm air at 250 mph. Speed of the horizontal crosswind…

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: Find the angle between the vectors, and

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Q: A dog searching for a bone walks 3.50 m south, then runs8.20 m at an angle 30.0° north of east, and…

A: According to the given function draw the graph of the function:

Q: Find parametric equations for the lines in The line through the origin parallel to the vector 2j + k

A: Given  The vector equation is  0i +2j+k  The line passing through origin , origin is  ( 0 ,0 ,0)…

Q: How do you find a vector's magnitude and direction?

A:

Q: QUESTION 5 Resolve the vector into its x and y components. 515 NZ 136° Round your answers to the…

A: To resolve the vector into its x and y components. 515N ∠136°

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

A:

Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

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

A:

Q: A vector that has a magnitude of 1 is a ________ ________.

A: Fill in the  blanks in the statement " A vector that has a magnitude of 1 is a ________ ________.…

Q: Find a vector of magnitude 10 in the direction of v = 3i − 4k

A:

Q: A pedestrian walks 7.4 kilometers west and then 9.2 kilometers south. What is the angle of the…

A:

Q: B A

A: Given:

Q: Create a simple track and field diagram and draw out the vector arrows where the following can be…

A: We need to assume a simple track and field diagram and mark the changes in the acceleration and…

Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels…

A: please see the next step for solution

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

Q: what if it was the same vector, but 5y^2j?

A:

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

A: Let u be the vector to be found. To find u, first we need to find the direction of the vector v. To…

Q: Calculate the magnitude and direction of the resultant of the two acceleration vectors shown

A:

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

A:

Q: A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A: We have given The initial velocity v0 = 50i+ 80k and the acceleration vector a = −4j − 32k.

Q: A leaf is floating on a river to the S30°E at 6 km/h. A wind blows to the west at a rate of 3 km/h.…

A: Given : Leaf is floating at 6 km/h and wind is blowing at 3 km/h

Q: Calculate the magnitude of the vector AB shown in the diagram. A B-

A: As per guidelines we can solve the first question only. For any other answer repost the question.

Q: Find a vector equation with parameter ?t for the line through the point (8,0,−5) and parallel to the…

A: Given,           The line through the point (8,0,−5) and parallel to the vector 2i−3j+3k

Q: An airplane is located at position (3, 4, 5) at and travelling with velocity 400i + 500j – k meters…

A: 400i+500j-k

Q: Rounded to the nearest integer, a two-dimensional vector with length 13 forming an angle of 67.4°…

A: Given:-magnitude of the vector, v→ =13angle with the x-axis, θ=67.4°

Q: 27-j+4k sī +2j-2k.

A:

Q: A sailboat is sailing at a speed of 6 knots at a true bearing of 220°. Give the velocity of the…

A: First represent the vector on coordinate plan than break the components along x & y-axis.

Q: If the position vector of a particle P is r(r) (3cos t,5sin7,4 cos t) a) Show that the speed of the…

A:

Q: A ball is thrown at an angle of 60° to the ground. If the ball lands 90 meters away. What was the…

A: The ball is thrown at an angle of  to the ground. So, the initial velocity of ball has both…

Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: Drag the blue point to a location on the coordinate plane so that the vector v (shown below in blue…

A: Given: Magnitude is 17 and the direction is 28.07° The main objective is to find the vector r→…

Q: Suppose you are standing on the paraboloid directly above the positive y-axis. In the direction of…

A: REsult :

Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

A:

Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…

Q: Find the magnitude and direction of the resultant of the following vectors using Laws of Sines and…

A: Given that x=10N and Y=5N. The graph formed is, Now decompose X and Y vector along x and y…

Q: A mouse is trapped in a maze. To find his way out, he walks 15 m east, makes a 90° left turn, walks…

A: