(B) Find the vector F directed from point (3,-5,2) to point (2,-2,1) in cartesian coordinates and find the unit vector along F

Q: Find both the vector equation and the parametric equations of the line through (0,0,4) in the…

A: Explanation of the answer is as follows

Q: Find a vector v with initial point vector in the direction of v. Enter your answers in i, j, k…

A:

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

A: Given data- Weight of the forklift and its contents F = 800lb We have given that the weight is…

Q: express vector as a product of its length and direction. 1/(3)^1/2 i + 1/(3)^1/2 j + 1/(3)^1/2 k

A: Let the given vector is: v=13i+13j+13k

Q: A forklift is used to offload freight from a delivery truck. Together the forklift and its content…

A:

Q: Find the unit vector u in the direction of the vectorv=(-5, 12, 0).

A: Given          v =( -5, 12, 0 )

Q: A vector orthogonal to the plane through the points (-1,0, 0), (0, 0,-2), (2, 3, 4) is

A:

Q: B. Find the unit vector with the initial point P(-3,4,1) and terminal point Q(-5,2,2). Then find the…

A:

Q: Let v be the vector from initial point P1 = (-7, -4),to terminal point P2 = (0, -2). Write v in…

A: Vector u from (a,b) to (c,d) is (c-a,d-b) or  (c-a)i+(d-b)j

Q: Find a unit vector u in the direction of v. Verify that ||u|| = 1. v = (-6, 6)

A:

Q: Find a unit vector u in the direction of the vector from P1(1, 0, 1) to P2(3, 2, 0).

A: Concept: Unit vector is a quantity which has a magnitude as 1and as well as direction, it is also…

Q: Let a be a standard-position vector with terminal point (−2, −6). Let b be a vector with initial…

A: Given that a be a standard position vector with terminal point (-2, -6). We know that if v be a…

Q: A vector with magnitude 8 points in a direction 280 degrees counterclockwise from the positive x…

A:

Q: 13. Find an equation of the plane through the point (1,2,3) and perpendicular to the vector…

A: Given a point P( x, y, z) and a vector (a, b, c) which is perpendicular to the given plane

Q: Determine the equations of the line (vector, parametric, Cartesian and general) that passes through…

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –2, –2), (2, 3, 4) is

A: Query- Find a vector orthogonal to the plane through the points -1,0,0,0,-2,-2,2,3,4. Answer- Let…

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

A:

Q: Represent the line segment from P to Q by a vector-valued function and by a set of parametric…

A: Two vectors Px1,y1,z1 and Qx2,y2,z2 Line segment P to Q: 1) Parametric form is…

Q: Find two unit vectors orthogonal to both v (1,1,-1) and w-(2,-1,1).

A: Calculation:Compute the two unit vectors as follows.

Q: How do you find out the projection of a vector u on a vector w

A: Projection of vector u on w is nothing but the dot product of u and w divided by magnitude of vector…

Q: Find a unit vector that is anti-parallel to the vector (1,2,0,3).

A: A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude…

Q: Let the vector v have an initial point at (-4, –3) and a terminal point at (2, 3). Determine the…

A: Given vector v have Initial point -4, -3 and terminal point 2, 3

Q: example of a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0

A: Given that:a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0

Q: A forklift is used to offload freight from a delivery truck. Together the forklift and its contents…

A:

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the…

A:

Q: Find the orthogonal projection of the vector onto the vector .

A:

Q: How does translation T along vector AB affect the points in the plane?

A: Some information in the question is missing.

Q: 3. A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1)…

A: 1st we have to find points where hiker changes its direction and then draw figure of path  Distance…

Q: Find two unit vectors that are normal to the plane determined by the points A (0, -1, 2),B…

A:

Q: Howit Findefuation of the plane perfendicular to the vector from origin tA. through A( 2,1)_and

A:

Q: Find a Vector ū: non zero Vector perpendicular to the

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 1, –-2), (2, 3, 4) is O O O O

A: I have append the formula in solution part

Q: Find two unit vectors that are normal to the plane determined by the points A (0, -1, 3),B (2,…

A:

Q: Find the distance of point 4(2-/3,2) from the line that passes through the origin and parallel to…

A: Distance of a point A(x1, y1) from the line ax+by+c=0 is given by d=ax1+by1+ca2+b2

Q: Find the magnitude of the projection of ⟨-3,-2⟩ onto the vector ⟨1,-2⟩

A: I have appended the formula used in the solution part of the question

Q: Find an equation of the plane. The plane through the point (4, 0, -5) and perpendicular to the…

A:

Q: 4. Determine a vector equation for the plane that is parallel to the xy -plane and passes through…

A: Due to our answering guidelines we can only answer one question at a time, therefore I will be…

Q: a) Find vector equation and paramedrie equahion for the line that passes through the point (5,1,3)…

A: The objective is to find the vector equation and parametric equations for the given problem

Q: How do you find a vector perpendicular to a plane?

A:

Q: A vector with magnitude 10 points in a direction 310 degrees counterclockwise from the positive x…

A:

Q: Let v be the vector from initial point P1 to terminal point P2. Write in terms of I and J P1 =…

A: Finding the vector v

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is

A: This could be solve using vector concept.

Q: Find a non-zero vector perpendicular to the vectors -2 and ü = 2 ||

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is O O O O

A:

Q: find the component form of the vector. The vector from the point A = (2, 3) to the origin.

A: Find the component form of the vector. The vector from the point A = (2, 3) to the origin.

Q: Let x be the unit vector parallel to the vector from the point (2, 3, −2) to the point (-6,2,2).…

A: To obtain the direction vector of the unknown vector obtain the direction vector of the vector…

Q: find the component form of the vector. The unit vector obtained by rotating the vector [0, 1]…

A: Given unit vector is 0,1 makes an angle of 90°. The vector obtained by rotating it by 120° counter…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –1,-2), (2,3, 4) is O O O O

A: