4. Given vectors A, B, and C below: B (80.0 N) 30.00 Å (100.0 N) 30.0° 53.0°O (iii) Find E where E = T xA using determinant. (iv) Find Fwhere F = 2B x T using the distributive property.

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

A:

Q: O. Add the following vectors: 5mE;7.5mS60°w;10mN; 3.5m35°N of W.

A: We will first draw the diagram showing the given vectors. We will then resolve the vectors into…

Q: DATE: 1)A vector has a magnitute of sC $ is in quadvant I wf on angle 10.1° w/ respect to the ty-…

A: For part (i) Take cross product of 2A and B and solve for along y axis.  (ii) Component along y axis…

Q: Find a unit vector that is perpendicular to both a -i+jand b-i- 2j + k.

A: A unit vector has a magnitude of one. There are no units or dimensions in a unit vector. We have the…

Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: 4 y mg(1.2) = 0.5mv → v = V2.4g = 4.8522 (m/s) 1 (2) Collision at position 2 1.2 m Before collision…

A: Component of velocities along unit vectors

Q: 11 Given the vectors A, B and C. Find the following: A = 3t + 5j - 2k; B = −4i + 2j + 3k ; C = 5t −…

A:

Q: Find a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select…

A: (d) n= (2, -3, 4)

Q: Two vectors A = 1ỉ - 2j and B = 2î + 3j. Find the approximate angle between the vectors (-3A) and…

A:

Q: Find the vector sum of the following three vectors A=1.00mat0º, B=2.00m at 150ºand C=1.50mat20º.All…

A: The given data are: A=1 mθ1=0°B=2 mθ2=150°C=1.5 mθ3=20°

Q: For A= 21 +31-K, B = -21+ 3 + 5k, and C = 3ĵ- 5k, find C. (A-B). 33 X Be careful when subt

A: Given data:  Three vectors A = 2i + 3j - k B = -2i + 3j + 5k C = 3j - 5k Required: The value of C.(A…

Q: For A = x ax + y ay +z az and B= 2x ax + 3y ay + 3z az. Find the followingat (2,2,1). a) C = AXB b)…

A: Given that, A→=xa^x+ya^y+za^zB→=2xa^x+3ya^y+3za^z At (2,2,1), we have to find  C→=A→×B→ A→×B→ and…

Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k

A:

Q: Determine the magnitude and coordinate angles of the resultant force acting at A. dAB dac R in…

A:

Q: Two vectors A = 1î - 2j and B = 2î + 3]. %3D Find the approximate angle between the vectors (-3A)…

A:

Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Eij and k are the usual unit vectors in the x, y and z directions, find aixi c.

A: As we know that i, j and k are unit vectors along the x, y and z directions. These unit vectors are…

Q: :xerase no # 2 0.) Ax= 2.00m , Ay= -1.00M b.) Ax: 3.00m Ay: 1.00m C-) Ax --00m AY= 1-0om -00m,Ay=…

A:

Q: Solve if the 1. 2. 3. 4. following vectors is a basis: Ả = in – 3iz + 2ig - B = 21₁ - 41₂ - i3 C =…

A: (1) Given that A=i1-3i2+2i3 B=2i1-4i2-i3 C=3i1+2i2-i3 The required solution is following in step 2…

Q: 22. Given vectors = 5î - 2f and D = 3î + 4ĵ, find: a. the projection of vector Conto the x-axis…

A:

Q: 3. Given the following vectors: A = 2î + 5ĵ; B = 6î – 2j; and C = resultant vector R. 4. Find the…

A: Resultant R̅ =A̅+B̅+C̅

Q: Q1) given vectors (A = 4ax – 2a, + 2a,), (B = –6ax + 3a, - 3a,), and (C = ax + 3a, + az), find (i)…

A: A→ = 4ax - 2ay + 2azB→ = -6ax + 3ay - 3 azC→ = ax + 3ay + azMagnitude of A→ = (4)2 +(-2)2 + (2)2|A|…

Q: › Vectors À and B lie in the xy-plane. Vector À has a magnitude of 11.6 and is at an angle of 155.5°…

A:

Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…

A:

Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: 19. In an orthorhombic cell, the primitive vectors are 1.27Å, 2.14Å and 1.51A. Deduce the intercepts…

A:

Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of  on , that is,

Q: 8 units. If the angle Consider the two vectors A = 5 units and B between the two vectors is 37°,…

A:

Q: True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless.

A:

Q: :P and Q are two vectors and "0" is the angle between them. Given that PxQ=(P.Q), find the value of…

A:

Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Have you considered all possibilities? (c) a + b = and a² + b² = ². O a=0. ☐ a and b are in the same…

A: