Q-2. For the given data below; determine;B a. The Force Vector F (1.2 kN in magnitude) directed From Point A to Point B b. Direction Angles (a, B, Y) of the Force Vector F c. The Moment of Vector F about Point O (0,0,0) → d. The Magnitude of the Moment of the Force Vector F About OC axis DATA: A(2,-1,1) --- B(4,3,-4) --- C(1,2,2)

Q: Find the two values of t that would make the angle between vectors ⟨1, −2, 0⟩ and ⟨0, −1, t⟩ equal…

A:

Q: Find v e where ||v|| = 3, e is a unit vector, and the angle between e and v is 4.

A: Here given as  v=3, e is unit veactor.angle between e and uα=2π3.

Q: Q1: A force of 9 newtons is applied in the direction of the vector from P(1,0,1) to P2(3,2,0).…

A: According to the guidelines of bartleby I will do only first question please ask rest of the…

Q: Find the distance between u 1- and z = A

A:

Q: Let the vector ü = (k,5,-1) and v=(2k,k,3) are perpendicular in R, find the value of k that related…

A:

Q: Consider the vectors below. For this exercise you should round all answers to one decimal place. F₂,…

A:

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

A:

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: A force F whose magnitude is 5 N has direction angles of 60°, 120°, and 45°, respectively. Find the…

A: The magnitude of the force  F→is F= 5 N Direction angles Are  α=60°β=120°γ=45°  Q→= 0.3i^+0.4j^+0k^

Q: acting on it by use of the component method. Show all your work and be sure to make a final…

A: component

Q: For the following vector, convert from x and y coordinates to magnitude and direction I = 8, y = 2 0…

A: Find the magnitude and direction vector.

Q: Given A =(x2 y, -yz, yz?). If point T is located at (2.8,5.6,3.6), find the distance vector from T…

A:

Q: 1. A wrench is used to twist a bolt. A force of 60 N is applied in a clockwise direction at 80° to…

A: Torque is the measure of the force that can cause an object to rotate about an axis.

Q: use graphical method to locate resultant vector scale factor ; 3cm = 1N f1 = 1.02N = 3.06 cm ,…

A: Given 3 vectors : f1=1.02 N =3.06 cmDirection =41 NEf2=2.57 N = 7.71 cmDirection = 84 NEf3=1.2 N =…

Q: The shaded ABCD place intersects the x, y and z axes at T, S, and R, respectively. Determine the…

A:

Q: For the vectors ū 8 find the following: %3D a. ||u|| b. A unit vector in the direction of u.

A:

Q: [A] A force F has a magnitude of 15 newtons and has the same direction (but different magnitude as…

A:

Q: 3. Compute the angle between vector a = (1,2,3) and the positive r-axis.

A:

Q: Find the velocity and acceleration vectors in terms of u, and ue. r=7 sin 3t and 0= 9t 3Du, +ue V =…

A: Given To determine  the velocity and acceleration vectors

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.