a) In your own words, write a clear definition of the resultant of two C more vectors. Do not explain how to find it; explain what it represent f two or more force vectors are added, then the result is a resultant force. I b) Under what conditions can the Pythagorean theorem and the law of cosines be used to find the magnitude of the resultant of twO vectors?

Q: Determine the resultant of the four forces acting the circular plate and the angle ϴ, which the…

A:

Q: Two forces of 268 pounds and 487 pounds act at the origin and make angles of N 56 o E and  N 22 o E…

A:

Q: 'he sum and difference of two vectors à and B are equal in magnitude. Prove lgebraically that the…

A: Given: A→+B→=A→-B→ The magnitude of sum of A →and B→ is , A→+B→=A2+B2+2ABcosθ The magnitude of…

Q: Engr. Hazel Gazo wants to demonstrate the sides of the triangle in terms of vectors. Please refer to…

A:

Q: As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people…

A: This question can be solved using the concept of vectors.

Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: Find the angle between the vectors in degree and in radians ) i + sin ()j, v = cos E) i+ sin 37 +…

A:

Q: Paul pulls on a rope attached to his sleigh with a force of 60 N. If the rope makes an angle of 15°…

A: We are authorized to answer one question at a time since you have not mentioned which question you…

Q: A shipping clerk pushes a heavy package across the floor. He appliesa force of 64 pounds in a…

A: Given: A shipping clerk pushes a heavy package across the floor. He applies a force of 64 pounds in…

Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One…

A: Solution:

Q: The vectors, a and b represent two the same point and forces acting at at is the smallest positive…

A:

Q: The sides of a triangular area measure 2 m, 3 m, and 3 m, respectively. Calculate the force of water…

A: We have to find force

Q: 5. Determine the resultant of two vectors with magnitudes of 30 and 70 units and an angle of 45…

A:

Q: 2 Find the angle between two vectors Ā - Hax-Gay -89z B-Gax + 10ay + Saz

A: Angle between two vectors A⇀ and B⇀ is θ=cos-1A⇀·B⇀A⇀B⇀

Q: Let a and b be two vectors such that Jal =17, b is a unit vector, and 0= " is the angle between…

A: Solve for

Q: If a 350-lb load is suspended by two chains as shown in the figure to the right. What is the…

A:

Q: Consider two forces of equal magnitude acting on a point. When the resultant of the forces is 0,…

A: given: the two forces of equal magnitude acting on a point and the resultant of the forces is 0.

Q: The area of a parallelopiped that is formed by two vectors A and B can be obtained mathematically…

A: It's area of parallelopiped is given by A×B.

Q: Given the following vectors acting on an object, at what angle and magnitude must a force by applied…

A: Solve by geometry method, the forces are F1 =1200 pound and F2=3100 pound. The angle between them is…

Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: Find two unit vector in a plane that make an angle of 30with 4i+3j

A: Given: A vector 4i+3j and the angle is 30o .

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

A:

Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

A:

Q: What is the angle e between the vectors u= and v= in R* ? (Express the answer to the nearest…

A: B

Q: Two prospectors are pulling on ropes attached around the neck of donkey that does not want to move.…

A: To find the used force of donkey to stay put.

Q: Find Hhe voluie af Mee Parallelepiped daterimıned by he vectors a,b and c. (a) (,2,3)and…

A:

Q: At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck as…

A:

Q: own your onw word, meaning for two vectors to be parallel?

A: Vectors are parallel if they have the same direction Both components of one vector must be in the…

Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the…

A:

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: The vector from the origin to point A is given as 6ax – 2a, – 4az, and the unit vector directed from…

A: Given vector is A→=6,−2,−4 and B→=B23,−23,13 And B−A=10 We have to find the coordinates of the point…

Q: Find the angle between vectors v = (1,2,3) and w = (2 -1, 4)

A:

Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from…

A:

Q: The vectors a and b represent two forces acting at the same point, and 0 is the smallest positive…

A: Given,           a=7.2 lbs and b=9.7 lbs , θ=110°

Q: At a county fair truck​ pull, two pickup trucks are attached to the back end of a monster truck as…

A: Solution :-

Q: A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO. The…

A: Given: A, B and C are points in space relative to O such that AB⊥CO and AC⊥BO. To show: BC⊥AO.…

Q: 3 Express the vector in terms of I and a sled along level ground by a force of 30 pounds A child…

A: Topic:- vector algebra

Q: Find the measure of the angle between the two vectors. 24) u-(9,9) v-(-8,-5) V =

A:

Q: Two perpendicular forces, 35 N and 52 N, act to each other. The resultant force is ?

A:

Q: Please state the Pythagorean Theorem using the language of vectors; then prove it.

A: In this given question ask state of pythagorean theorem using the language of vectors and prove it.…

Q: 4- The screw eye is subjected to the two forces shown. Express each force in Cartesian vector form…

A: Magnitude of the resultant force is calculated as below-

Q: Let u and v be vectors. If their dot product is zero what is the angle between u and v (in degrees)?

A:

Q: Suppose i and V are vectors such that ||ū|| = 2, |||| = 3, and the angle between u and ở is 60º. a)…

A: This question is related to vectors, we will use formula of dot product of vectors and basic…

Q: see attachment

A: We have to use dot product formula.

Q: An object with a mass of 10 kg is suspended from a ceiling by two lengths of rope that makes angles…

A:

Q: 4. Find a unit vector that is perpendicular (5, 6). to

A:

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.