Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨6, 0, 8⟩

Q: Find the vector v with the given magnitude and the same direction as u.

A: Magnitude is v = 6

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

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Q: Which of the following is a property of a vector? O It is invariant to neither translation nor…

A: A vector is invariant to translation of coordinates. This means that the vector can be translated…

Q: Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of…

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Q: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: A vector ? = (−1.2 m)i+ (1.8 m)j. Find the magnitude and angle (between 0° and 360°, measured…

A: Answer is uploaded in 2nd step.

Q: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

Q: A unit vector has the magnitude of

A: The answer for the given question is given in the next section.

Q: A vector a of magnitude 17 units and another vector b of magnitude 5.5 units differ in directions by…

A: Given: Magnitude of a vector a is |a| =17 units Magnitude of second vector b is |b| =5.5 units and…

Q: Vector A has magnitude of 8 m and vector B has magnitude of 4.1 m. If the angle between the two…

A: Angle between two vector is 60 degree

Q: Vector V with magnitude | V | forms an angle with the positive x-axis. Give the magnitude of the…

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Q: Find a unit vector that is perpendicular to both A=5i 2j + 2k ft and B= 3i + 2j + 4k ft.

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Q: What are (a) the x component and (b) the y component of a vectora→in the xy plane if its direction…

A: Given:    Magnitude of vector = 9.4m                                          Direction = 185o…

Q: is the direction of the vector at point c in the i, j, i-j or negative j.

A: Direction of vector at a given point is always along the normal.

Q: Consider two vectors A = 3.56 i+ -3.07 k and B = 0.09j+ 1.82 k. Find the angle o between these two…

A: Given The two vectors are given as A→=3.56 i^+-3.07 k^ and B→=0.09 i^+1.82 k^ Angle between the two…

Q: Given 2 vectors A = 5i-3j and B = -2i+4j find the angle above the x-axis of A+B and lA+Bl note j and…

A: First we find the addition of given vector and after that we find its magnitude

Q: Draw and find the sum of the following four vectors in (a) unit-vector notation, and as (b) a…

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Q: You are given a vector in the ay plane that has a magnitude of 85.0 units and a y component of -41.0…

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Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.36 units, respectively. The angle between…

A: The scalar product between two vectors is given by,

Q: The vector B>has components Bx = -2.10 m and By = -1.70 m. Find the direction angle,u, for this…

A: Let the magnitude of that vector be B0. And as the both components are negative , so clearly the…

Q: Find the vector v in the xy-plane with magnitude 5 if the angle between v and i is 150°.

A: Given data: Magnitude of the vector, v=5 Angle, θ=150°

Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

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Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

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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: Vectors A ⃗ and B ⃗ have identical magnitudes of 5.0 units. Find the angle between them if A ⃗ + B ⃗…

A: Given data: The magnitude of vector A is: 5 unit The magnitude of vector B is: 5 unit The resultant…

Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between…

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Q: Given aB = 0.2ax +nay + O.6az the unit vector along B. What should be the value of n if B has a…

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Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

Q: Consider two vectors A and B. À = 13î + 15ĵ and B= 16î – 18) Find the unit vector that points in the…

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Q: Let A = (2 m)*i + (6 m)^j - (3 m) ^ k and B = (4 m) i + (2 mj + (1 m) ^ k. The vector difference D =…

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Q: what would be the polar coordinates of this vector? 0.265i + 0.223j

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Q: A= 2.00î + 6.00ĵ and B d= A+ B Given the vectors 3.00 î – 2.00j, and the vector difference D= A – B.…

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Q: Given the displacement vectors A → = ( 3 i ^ − 4 j ^ + 4 k ^ ) m and B → = ( 2 i ^ + 3 j ^ − 7 k ^ )…

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Q: Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the…

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Q: Find the resultant of the two vectors: A = 20.0 units, negative y direction B = 30.0 units, 55°…

A: Write the given vectors as follows. A→=-20.0j^B→=-30.0cos55°i^+30.0sin55°j^=-17.207i^+24.57j^

Q: The vector a has a magnitude of 5.00 units and the vector b a magnitude of 7.00 units. If the angle…

A: Given data: Magnitude of vector a a = 5.00 units Magnitude of vector b b = 7.00 units Angle between…

Q: Two vectors d and b have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .…

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Q: Find the sum of the following four vectors (a) and (b) for x and y components respectively), and a…

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Q: Find a unit vector directed from (0, 1, 5) to (2, -2, -1)

A: Given: A(0,1,5)  B(2,-2,-1)

Q: Vectors A and B each have magnitude S. When drawn with their tails at the same origin, the angle…

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Q: Find the unit vector q⃗ for the given vector, −2i+4j–4k

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Q: A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit…

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Q: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: The minimum number of Non zero non collinear vectors required to produce a zero vector is A) 3 B) 2…

A: If the two vectors of same magnitude and opposite in direction, the resultant of these two is zero.

Q: points east, and the j vector points north.) 3.6

A: GivenA river flows due south at 2 mi/h. A swimmer attempting to cross the river heads due east…