Give the terminal point of the position vector of u= (3,4). Clearly show why your answer is acceptable.

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: Calculate the vectors A and C curves given below with aA dl

A: In this question, we have to calculate the line integral in both parts.

Q: Find an equation of the plane that passes through the point (0, 0, 0) and is perpendicular to the…

A: The direction ratio of n = −3i + 2k is (-3,0,2) Given that that plane is perpendicular to n = −3i +…

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

A:

Q: Find a vector equation for the line segment that joins P(1,3,4) to Q(-2,4,6)

A:

Q: 1 Y

A:

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 a vector equation for the line through the point (–9, –9, 3) parallel to the line 19 + 4t, y…

A:

Q: What is the vector between the point (−3a,−7b) and the point (−4a,−5b)?

A: Vector between two points A and B is B-A

Q: what is the vector equation of the line of intersection of the planes z=5 and x=9

A:

Q: Find a vector equation with parameter t for the line through the points (-1, –7, –4) and (-6, 8, 2).…

A:

Q: Find the angle between vectors and

A: Given vectors are same i.e. they are parallel.

Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

A:

Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Find the vector equation for the line of intersection of the planes 3x−2y+2z=1 and 3x+4z=−4 r=⟨ ,…

A:

Q: Find a vector equation for the line segment from (2, -4, 5) to (6, 4, 4). (Use the parameter t.)…

A: Explanation of the solution is given below...

Q: Resolve the vector of 300N at N25W into its rectangular components. Use right/left and up/down for…

A: Vx = -126.785 Vy = 271.892   explanation is given in below step

Q: Determine the tail of the vector whose head is(1, 2). Make a sketch.

A: Given the vector 26 and tail of the vector is (1,2). We need to find the head of the vector.

Q: Find a vector orthogonal to the line x+y=1

A:

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: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

A:

Q: how can i learnd about vector in r2 and r3?

A:

Q: Find a vector normal to the plane -2x - 3y = 12 - 4z.

A: Given  a vector -2x-y=12-4z. We need to find the vector normal to the plane.

Q: What is the magnitude of the vector v with initial point P = (-4, 3) and terminat piont Q = (2, -5)…

A: A detailed solution is given below

Q: Determine the head of the vector;whose tail is (−3, 2). Make a sketch.

A: Consider (x, y) as the head of the vector. Then  -25=xy--32-25=x+3y-2

Q: Find a position vector that is parallel to the line x = 2 + 4t, y = 5 - 8t, z = 9t.

A: The equation of the line is: x = 2 + 4t y = 5 - 8t z = 9t From the given equation of the line we…

Q: Explain how to find the unit vector in the direction of any given vector v.

A: To find the unit vector in the direction of the given vector v, divide the vector v by its…

Q: State the difference between a position veetor and a line vector.

A:

Q: Determine the tail of the vector whose head is (1, 2). Make a sketch.

A: Consider the provided vector, 26 Whose head is 1,2. Determine the tail of the given vector.

Q: Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

A:

Q: What is the position vector (expressed in RCS), determined by point B(2,30 deg, 3)?

A: Definition: The point A(a,b,c) has a position vector OA where a is the x-component, b is the…

Q: Use the figure to sketch a graph of the vector. u- V y

A:

Q: ) Find a vector equation for the line that goes through the points (7, 6, 2) and (2, 14, 2). F(t) =…

A:

Q: Calculate and display the error vector & and use it (c) to provide an orthogonality check on your…

A: Given: The set of data points, x y z 0 0 4 1 0 4 0 1 4 1 1 0 To plot them on a set of…

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

A:

Q: Determine the angle that the vector [- /3, – 1] makes with the positive horizontal X - axis

A: To find the angle between the vector -3,-1 and positive x-axis

Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

A:

Q: Give a vector parametric equation for the line through the point (-2, –2) that is perpendicular to…

A:

Q: Parametrize the line that passes through the point (1, 2, 3) rallel to the vector V = -3i +7k .

A:

Q: Give a vector parametric equation for the line through the point (1,−4,1) that is parallel to the…

A: We have to find the vector parametric equation for the line through the point (1,-4,1) that is…

Q: Sketch the curve whose vector equation is r(t) =

A: given rt=<tcost,tsin,t>

Q: Sketch the curve with the vector equation 7(t) = (t,2 – t, 2t). Indicate with an arrow the direction…

A: Solution

Q: Find the equation of the plane passing through the point (2,−1, 3) and normal to the vector N = (2,…

A: we know that equation of plane which passes through point x1,y1,z1 and normal to vector a,b,c is…

Q: What is a position vector?

A: What is a position vector?

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

Q: Find the horizontal and vertical components of the vector u that has magnitude |u|=4 and direction…

A: Given that, the magnitude is |u|=4 and the direction angle is α=20∘

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.