What is the slope a line that has two points with the coordinates (3,4) and (5,6

Q: Find the angle made by the vectors A and B given below A=(2,1,3). B=(3,-2,1).

A:

Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

A:

Q: Nector ABC are defined as fano) A = 2.9i 15-8j 4.3 K %3D B = 2:5i -3.7j+4.2 K %3D = 8.5it 3.2 K o)…

A:

Q: If k is any positive number, what is the size of the angle between the vectors a = (k, k) and b =…

A: The angle between the vector a→ and b→ is define by the following formula. cosθ=a→·b→a→b→

Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…

Q: Two points are given in polar coordinates by (r, 0) = (1.80 m, 50.0°) and (r, 0) = (3.00 m, -48.0°),…

A:

Q: Sketch the following 3D vectors  A = 3î + 5ĵ – 4k and B = 6î – 7ĵ – 5k

A:

Q: Two vectors in Cartesian coordinates have components A= (2,2,3) and B=(-4,-1,7). What is the dot…

A: given  A=2,2,3  B=-4,-1,7  Dot product of vector  A with vector B=?

Q: Given the points P (ρ = 5, Ø = 60°, z = 2) and Q (ρ = 2, Ø = 110°, z = -1)

A:

Q: show that the function y(x)=Ax^n (A and n are constants) will give a straight line on a log-log…

A: The provided function is expressed as y=Axn

Q: Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be…

A:

Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }

A: To solve the given question, we will write down the given two vectors in vector form and then we…

Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Let P:(-1,2,3), Pa(2,-1,1) and Pa(1,1,1) area of the triangle equal..

A:

Q: What is the component of A along the direction of B if they are perpendicular?

A: The component of any vector along any other vector is always proportional to the cosine of the angle…

Q: A vectors A and B lying in the x y plane and given by A, = -7.4 cm and A, = -5.8 cm. Likewise, B =…

A:

Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

A:

Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: What is the angle between two vectors A and B if A=4i + 12j +6k and B= 24i -8j +6k

A: If θ is the angle between two vectors A→ and B→, then cosθ=A→·B→A→B→

Q: A point is located in a polar coordinate system by the coordinates r= 5.8 m and 0 = 28°. Find the x-…

A: Given data: Polar coordinate of point r = 5.8 m and θ = 28° Required: The x and y-component of the…

Q: Two points in a plane have polar coordinates (2.5m, 30°) and (3.80m,120°).Determine a) the catesiam…

A:

Q: The following vectors are defined (e, e, è,) are unit vectors of an orthogonal coordinate system): d…

A:

Q: der a cube whose edges are each of unit length, One corner coincides with the origin of an xyz…

A:

Q: Find the distance from the origin to the plane 3x − 2y − 6z = 7

A: The equation of the plane is, Now, compare the above plane with the general form of the plane (ax +…

Q: Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m. (a)…

A:

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,…

A: Vertices of rectangle: A(5,6), B(8,12), C(-40,36), D(-43,30)  When we'll plot these vertices on…

Q: On a plane flat surface with "up" given as  +y and  "right" given as +x, we add two vectors.  One of…

A: According to question we need to find magnitude and direction of second vector?

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot…

A:

Q: Two plane polar coordinates have the coordinates (2.7,42.8 °) and (4.7,98.8 °), calculate the…

A: It is given that two points have coordinates,

Q: Determine the tangent to the curve 3y2 = x³at (3,3) and calculate the area of the triangle bounded…

A:

Q: 70.0° You are given two Á = -3.00î + 6.00ĵ 2 vec- and 30.0° tors = 7.00î + 2.00ĵ. terclockwise…

A:

Q: When three vectors are added graphically and form a closed triangle, the largest enclosed angle…

A:

Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

A:

Q: mehide of -ZR (that is find -3À\) What is the scalar product À B if À =3.0?-2.5 and B= -4.09+4.09?…

A:

Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

Q: If vectors A = 4i + 3j + 2k and B = 2i + 3j + 2k, then the dot product A.B will be equal to... "

A: Solution as

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…

Q: Consider the vectors A=, B=, and C=. (a)Find the angle between A and B. (b)Find the component of A…

A:

Q: Two plane polar coordinates have the coordinates (2.2,48.3 °) and (4.6,10.50 ), calculate the…

A:

Q: For the pair of vectors A = (6.00î + 4.00ĵ) and B = (9.0oî – 6.00ĵ) in the xy plane, determine the…

A: Part (a): The scalar product is calculated as, Therefore, the scalar product is 12   Part (b): The…

Q: What is the  angle of the 10X force?

A: