Find the projection of vector w = <3,4> onto vector v = <-7,24>. Round all components to the nearest hundredth.

Q: Find the unit vector in the direction of v and verify that it has length. v = ⟨−6.2, 3.4⟩

A: Now magnitude is,

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 a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0, 8)…

A:

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

A: To resolve the vector

Q: find the given vector  Vector v of length 2 making an angle of 30◦ with the x-axis

A: To find: the vector v of length 2 making an angle of 30◦ with the x-axis

Q: Show that, û . ûm = 0, Use only the fact that û,is a unit vector. Interpret this result.

A: Here we need to prove that dot product of a unit vector and its derivative is zero. Here we use the…

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 unit vector in the xy-plane that is orthogonal to

A: Here given vector as a=123 Consider a vector as b=25-150 Now find the dot product of vector b to…

Q: A three-dimensional unit vector parallel to the y-axis is

A:

Q: A vector of 2 unit length parallel to vector 2i + 2j+k is:

A: We know a vector consists of magnitude and direction as we have to find the direction parallel to…

Q: find the given vector  Vector of length 2 in the direction opposite to v = i − j

A: A vector oppositely directed to v=i-j is is u=-v=-i-j=-i+j                   u=-i+j A unit vector eu…

Q: What is the i-component of unit vector of the vector u ? Give your answer correct to two decimal…

A:

Q: Find the length of the vector a %3D

A: The length of a vector x→=abc is given by the equation; ||x→||=a2+b2+c2

Q: O Find a unit vector (a vector with length 1) that has the direction of 3 2

A: Given below the detailed solution

Q: The vector u is shown in red. Drag the blue 1 movable point to construct the vector U. -

A: as we can see from the graph, the coordinate of u is  u=6,-8 now multiply both sides by -1/2…

Q: The magnitude of a vector is the same in all reference frames. O True O False

A: In dynamics vectors are 3 dimensional showing magnitude and direction

Q: Find the projection of vector A=(6,7) along vector B=(1,4).

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: 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: Find a vector that is oppositely directed to v = with a length of 4

A:

Q: Find a unit vector perpendicular to plane PQR determined by the points P(-3, 3, -4), Q(4, -1, - 23),…

A: Given query is to find unit vector perpendicular to PQR.

Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: Consider the vector v = ⟨v1, v2, v3⟩. What is the meaning of arccos v2 / II v II = 30°?

A: Consider the vector v=v1,v2,v3 Use the dot product rule: v·j=v×jcosθ=vcosθ where θ is the angle…

Q: Find the vector of length v7 in the direction of AB + AC

A:

Q: Find the following vector. The vector in the direction of (24,10) with length 2

A:

Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: and the unit vector along the direction of u.

A:

Q: o v based at the origin.

A: Sketch the vector v = (2, −3) based at P = (1, 4) and the vector v0 equivalent to v based at the…

Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Find the length of the vector.v = (0, 1)

A: If Vector V = (V1,V2, V3) then the length of Vector ||V|| = (V1)2+(V2)2+(V3)2

Q: Find a vector parametrization of the line through P = (0, –8, 7) in the direction v = (7, 0, 0)

A:

Q: Find a vector parametrization of line through P = (9, 8, 3) in the direction v = (4, -8, 6). %3D…

A:

Q: Find a Tehmal vector cnd deraive a fersame trie G-a)²+(#+1}*= 25 ?

A: To find a normal vector and derive parametric representation of: x−22+y+12=25

Q: Find the vector W which is of length 6 and oppositely directed to u = (2,-2,1)

A: Given,          The vector w→ which is of length 6 and oppositely directed to u→=&lt;2,-2,1&gt;.

Q: In what direction should one move from the point (2, 3) to increase 4x?y most rapidly? Present your…

A: The solution is given below

Q: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

A:

Q: Verify that the vector i = ( ) is a unit vector (that is, has length 1). Then determine the…

A: The projection of a vector w in the direction of v is given by v·wv2v

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

A:

Q: find a ptenttal fncAren for the vector fteld. 2 2 .3

A: Given function is fx,y,z=6x2y2,4x3y+16y3z2,8y4z-7 Take, ∂f∂x=6x2y2…

Q: Find the length of the vector T

A:

Q: What is the magnitude of a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2)?

A: The two points  are : P(x1, y1, z1) and Q(x2, y2, z2). As the vector is directed from point P to Q ,…

Q: i. What are the lengths of the x- and y-components of this vector? 10

A: Find your answer below

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

A:

Q: Using the vectors from the previous problem, find the projection ul of v onto the vector u and find…

A: We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product…

Q: Find a unit vector u in the direction of v = 〈6, -1〉. Verify that ⎥⎥ U⎥⎥ = 1

A:

Q: Find a unit vector that is perpendicular to both u = (1,0, 3) and v = (-1,2,0). Answer:

A: We have to find the unit vector which is perpendicular to given vectors.

Q: Find the magnitude of the projection of (7, 7) onto the vector (0, 9) Round your answer to at least…

A: Given 7,7 onto 0,9

Q: Give a vector description of the midpoint M of a line segment AB→.

A: GivenLine segment AB→To find vector description of midpoint of AB

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.