sketch the vectors A= -3i+j and B=i+3j [i.e (-3,1) and (1,3). what propety do they share ]

Q: The two dimensional traction vector on a plane defined by normal. = 7+3 is given by T=57+63. The…

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Q: Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).

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Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

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Q: Prove the identity of the vector below a V•(AB) = B(V>A) A•VB) b. Vx(VA)=V(V-A)-VA Unknown д (4B) B…

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Q: If you needed to find a unit vector perpendicular to the plane containing two vectors, taking the…

A: Given data:  A plane containing two vectors Required: Unit vector perpendicular to the plane and…

Q: On more than two vectors. The first has a standard of 11m/s, the other a standard of 3m/s. All…

A: Given, resultant of vector A(say) = 11m/s resultant of vector B(say) = 3m/s So, sum of these two…

Q: Given vectors: A = 3 i + j – k, B = - i + 2 j + 5 k, C = 2 j – 3 k.  Find: 1) C ٠ (A + B) 2) C x…

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Q: A projectile is thrown with intial speed 'u'at angle o with horizontal. The projectile moves in x-y…

A: Lagrangian L=T-VT=12m(x2.+y2.)V=mgy

Q: (3) Using the i + J+ k vector notation, what is the vector created by adding together two vectors A…

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Q: The magnitude of the x-component of a unit vector at the point (1, 1) that is normal to $(r) =,…

A: We can write the electric field as given by-…

Q: Find a) the position vector rAB from point A to B and b) the position vector rBA from B to A.

A: Given data, Point A (3,4) Point B (11,10)

Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a • b = a…

A: given that, a is a 3d vector  and b and c are other two vector . a⇀ . b⇀ = a⇀ . c⇀

Q: Find a vector of length 2 in the opposite direction of the displacement from P,(-2,3,5) to P,(3,5,-…

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Q: (a) In unit-vector notation, what is the sum of a = (3.2 m )î + (3.7 m )ĵ and b = ( − 12.0 m )i +…

A: The vectors are given as, a→=(3.2 m)i^+(3.7 m)j^b→=(−12.0 m)i^+(8.0 m)j^

Q: Is there any point on the trajectory where v and a are parallel to each other? If so, where? Essay…

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Q: Determine the magnitude and direction cosines of the position vector from the point P(2, 1, – 5) to…

A: Given :            P(2, 1, -5)            Q(1, 10, 1)

Q: Find the x− and y− components of the vectors A~, B~ , C~ , and D~ . Take A = 10.0, B = 7.00, C =…

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Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Prove that any vector U,U-(U-e)ei+(u-eeJez + (U.e;Je Hint:write U in COmportent From)

A: To prove:

Q: The vectors ā, b and čare not planar. The a', & and d are the associated reciprocal vectors given by…

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Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find a vector equation for the line through the point (8, –1, -2) parallel to the line x = 13 + 8t,…

A: Given  X = 13+8t Y = 24-5t Z = 39-2t Poin on line is (8,-1,-2)

Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: (a) Sketch the two vectors in the xy-plane, and label the angles. (b) Compute A· B . (c) Using the…

A: a) The given vectors are, Analyze the following figure representing the given vector.

Q: The vectors ā, b and čare not planar. The a', & and d are the associated reciprocal vectors given by…

A: Simple problem based upon the topic scalar triple product (vector calculus). Please have a good look

Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

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Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

Q: What is the slope a line that has two points with the coordinates (3,4) and (5,6

A: Let the coordinates having point be written as:- X1=3 -----(1) [Given] Y1=4 -----(2) [Given] X2=5…

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…

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Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: * avector value of A.5.5 and De122, write this Vector in unit veebor ( unit Vector i opz cis)

A: Given: A vector value of A = 5.5 θ=122o To determine: Unit Vector. Formula used: Ax = Acosθ Ay=Asinθ

Q: If vectors  A = (4.5, -2.5) and B = (3, 6), what is C = 2A – B?

A: Given in question -    A = (4.5, -2.5) B = (3, 6) To find -Find the value of  (C = 2A – B).

Projectile Motion