ere are two numbers located on a plane represented mathematically by. A = (85 N, 180 N). And the other vector quantity is B = 140N with an angle of minus 10 degrees, Applying the method of the Law of Sines and Cosines, Determine: a) the magnitu

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: : Let x and y be non-parallel vectors. Prove that (x + y) and (x - y) are vectors perpendicular to…

A: For two vectors A→ and B→, the angle between them is θ. The dot product of these vectors…

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: Consider a rectangular surface of length L and width W in the xy plane with its center at the…

A:

Q: What direction does the vector b = -5.00i + 5.003 N point in?

A:

Q: Destion If A = - 3.5 i-9.7j and B-- 6.0i+ 8.1 j, what is the angle (less than 180 degrees) between…

A:

Q: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

A:

Q: Write the given vectors in terms of its components and the corresponding unit vector and then verify…

A:

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: 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: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

A:

Q: You are given a vector A = 135i and an unknown vector B that is perpendicular to A. The…

A: Given:Vector A = 135i.Cross product of A and B = A×B = 82k.A is perpendicular to B.

Q: Two vectors A and B have magnitude A=3.00 and B=3.00. Their vector product is AxB= -5.00k + 2.00i.…

A: Given data: Magnitude of A =3.00 Magnitude of B = 3.00 Vector product A×B=-5.00k+2.00i To determine:…

Q: Given the two points P(1,2,3) and Q(2,-2,1) find the vectors

A: Tail of both 'vector lies on origin

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: If the vectors 6i- 2j + 3k, 2i + 3j - 6k and 3i+ 6j- 2k form a triangle, then it is (a) Right angled…

A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

Q: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the plane which…

A: First, we need to find unit vector perpendicular to the plane passing through these three points.

Q: Find the angle vector c makes with the +x axis. 10 10 Hint: Use inverse trig function, carefully.

A: We have to find the angle vector c makes with the +x axis. We can use inverse the trigonometric…

Q: Let 2 vectors å anb b a 121=53161-5 in the plane of modules. How much is the magnitude of their e…

A:

Q: 2. Calculate the total displacement of a cheetah with the following displacement vectors: • Ã = 80…

A:

Q: 3i + 7j – 4k and (a) cos[A•B/AB] and (b) sin¯|A x B|/AB]. (c) Which 4. Two vectors are given by A =…

A:

Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

Q: You are given two vectors A = -3.00i +7.00j and B= 8.00i + 2.00j. Let counterclockwise angles be…

A:

Q: What is the angle e between vectors à and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

A:

Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

A:

Q: * = • Two vectors A and B have magnitudes A 3.00 and B =3.00, Their vector product is A × B=5.00k +…

A:

Q: if A⃗ =2i+3j+6kA→=2i+3j+6k and A⃗ =3i−4j+2kA→=3i−4j+2k, then the angle between the two vectors is

A:

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

A:

Q: Consider vector A, with a magnitude of 3, and a vector B, with a magnitude of 2. Are the following…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

A:

Q: vector algebra dot product of (i+j+k) and (i-j+k) is?

A: Given : Vector 1 →V1→=i^+j^+k^ Vector 2 →V2→=i^-j^+k^

Q: Vectors C and D have magnitudes of 3 m and 4 m, respectively. What is the angle between the…

A:

Q: Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there…

A: Let’s consider the following sets of vectors,

Q: A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is

A: the given vector is A=Axi^+Ayj^+Azk^

Q: : Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' axes are ated about…

A:

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

A:

Q: Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj š. a) The angle between i…

A:

Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Given:-   Initial point: (1, −2, 0)               Terminal point: (1, −2, −3) Find:- unit vector in…

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: 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…