7) Three small tugboats are pulling large ocean liner into the harbor. Find the resultant Force a. vector. 4500 1h

Q: Find a unit vector e, where v = (1, 2, 3). ev

A: Unit vector is a vector that has magnitude 1 For a vector v=<x, y, z>Norm of vector v is…

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: Find the magnitude and direction of the resultant of a 10 N force that acts an angle 40° clockwise…

A: The reluctant of forces along x- direction: Fx=10 cos40o+7sin180o+5 sin90o    =7.66+0+5    =12.66 N

Q: A person starts walking from home and walks: 4 miles East 7 miles Southeast 4 miles South 3 miles…

A: This problem can be solved from the vector addition, Let's follow the convention: East = i West =…

Q: Compute the length of the following vector: V 5 1 2

A:

Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

A:

Q: 6. Create a two vectors x and y, vector x from 1 to 10 and vector y from 10 to 1 then a. Sum the two…

A: According to the given information it is required to form two vectors x, and y from 1 to 10 and from…

Q: 1. A vector B, with a magnitude of 8.0 m, is added to a vector A, which lies along an z axis. The…

A: The magnitude of vector A is

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: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

A:

Q: Project the first vector orthogonally into the line spanned by the second vector. 2 3 -2

A:

Q: 1. Find the vector ? directed from (2, −4, 1) to (0, −2, 0) in Cartesian coordinates and find…

A:

Q: 2) If A =,find grad(div A), where r is a position vector.

A:

Q: Find a single vector that has components of 42 m north and 16 m east.

A:

Q: 5. Suppose that a, b and care vectors such that |a| = 2, |6| = 1, || = 5, a·b = 0, a. c = 3 and b c…

A:

Q: 2. Determine the direction angles for vector w = (-3,-4,12) (ehem 2) Sairie er to vilinolev…

A: Given query is to find the direction angles.

Q: Find the length of the vector of V=5k V = 3/5 i + 4/5 k

A:

Q: If A is a conutant vector and R= 3xi+ 3yj+ 32K, then grad (3A -R) = ? %3D A O 3A ©9A 27 A

A: A is a constant vector  R=3xi+3yj+3zk 3AR=9Axi+9Ayj+9Azk To find grad(3AR) Let Φ=9Ax+9Ay+9Az gradΦ=i…

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: Since we have given a,b and c are in R^3 so let a=(a_1,a_2,a_3) b=(b_1,b_2,b_3) and  c=(c_1,c_2,c_3)…

Q: 7. Write the vector w in terms of u and v, given that the terminal point of w bisects the line…

A: This question is related to vectors, we will solve it using given information.

Q: Tetfor the unit vector and est. or thogonality R=(2.-4.5,-2), 3=(1,-1.-2r2) W =(-2,4,2,-5)

A: Given vectors are ,                                     u = ( 2,-4,5,-2) ,  v = (1,-1,-2,-2) ,  w =(…

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.