If two vectors are equal, what can you say about their components? What can you say about their magnitudes? What can you say about their directions?

Q: Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same…

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Q: If you take two steps of different sizes, can you end up at your starting point? More generally, can…

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Q: Identify which of the following vectors are perpendicular to C. Vector C 80* 20* -------- 70° 20 50*…

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Q: You have two vectors. Vector A - 31 +43 and vector B = 62 - 53. What is the direction of 3A + 2B?

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Q: 5. If vector A = -3i - 4j, and vector B = 3i - 8j, then the magnitude of vector C = A - B is 3.00 O…

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Q: How do I find the derivative of the magnitude of a vector given 0.5t^8 (i-hat) -13t^2 (j-hat) at…

A: Given:  v→ = 0.5t8i^ -13t2j^We have to find dv→dt at t = 1.4

Q: A vector is given by: i = (-4.897 ) î +(-7.303) ; Determine the magnitude of the this vector.

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Q: What can you correctly say about a pair of vectors that add together to equal zero?

A: If a pair of vectors add up to Zero it means that the vectors are of same magnitude but are in the…

Q: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What…

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

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Q: Given the vector, A = 2 i + 8 j, determine the magnitude of 3A.

A: Given :  A = 2i + 8j  Firstly we will multiply the vector by 3 and then we will find out the…

Q: If two vectors have the same magnitude, do their components have to be the same?

A: Two vectors of same magnitude

Q: Can a vector with zero magnitude have one or more componentsthat are nonzero? Explain.

A: Let’s take a vector in 3-D (one can take n-dimension vector also).

Q: Two vectors, à and Bare found in the x-y plane, with à = 3î – 23 and B = 4î + 33. Pleas calculate…

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Q: The magnitude of a given vector with end points (4,- 4, 0) and (- 2,- 2, 0) must be (a) 6 (b) 5/2…

A: According to question we need to find the magnitude of the vector joining two points ?

Q: Suppose two vectors have unequal magnitudes. Can their sum be 0→?Explain.

A: No, the sum of the two vectors equal to 0, both vectors must have equal magnitudes and opposite…

Q: How would you arrange three vectors of equal magnitude if they are to have a resultant equal to…

A: Resultant of three vectors will be zero if below condition will be true-Three vectors are coplanar…

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: Two vectors of magnitudes E = 6 and D = 7 are lying on the xy plane as shown in the figure. What is…

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Q: If two vectors are equal, what can you say about their components?

A: Two equal vectors

Q: What is the magnitude of the vector 2i + 19j + 20k? 41 28

A: Given that                  The vector = 2i+19j+20k The magnitude of the vector is equal to the…

Q: Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same…

A: The vector sum of A→ and B→ is calculated as, A→+B→=A2+B2+2ABcosθ Where θ theta is the angle between…

Q: Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and direction…

A: (a) First, add the vectors A and B to get their addition vector (C) and represent its x and y…

Q: What is the magnitude of 4A if vector A = (6 i - 8 j) m? A. 40m B. 30m C. 10m D. 20m

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Q: Vector   has a magnitude of 6.0 m and points 30° south of east.

A: In this question we are given that a vector say A has a magnitude of 6 m and points 30o south of…

Q: Find the x- and y-components of the vectors, C where C-A-B. Notice that we are subtracting the…

A: The magnitude of the vectors could be added algebraically if they are parallel to each other.…

Q: What are pseudo vectors? Why are they called axial vectors?

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Q: Determine if each of the following sets of vectors is linearlyindependent or linearly dependent.1 V…

A: Given terms:

Q: Suppose vectors u and v lie in the xy-plane (the 2- component of each vector is zero). Now suppose…

A: Required  direction of u x v

Q: What is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit…

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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: If vectors A ⃗ and B ⃗ are orthogonal, what is the component of B ⃗ along the direction of A ⃗ ?…

A: It is given that A and B are two orthogonal vectors.

Q: er A 2i +3j Which of the following is a unit vector in the direction of A?

A: Given that:A→=2i^ + 3j^ To determine the unit vector along A→

Q: Given the vector, A = 2 i+ 8 j, determine the magnitude of 3A. Select one: A. 10.2 В. 17.0 С. 5.7 D.…

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Q: When adding vectors (3,30°) + (5,120°) + (7,225°), what is the direction of the resultant? -27.93…

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Q: 6) Given the three vectors A = 1.00 î - 4.00 j, B 3.00 î, and Ĉ = -2.00 ĵ evaluate the following…

A: (6) Given: A→=1 i^-4 j^,  B→=3 i^,  C→=-2 j^ Required: (a) C→·A→+B→  (b) C→·A→·B→ (c) C+A→·B→ (a)…

Q: ourtyard, looking for food. The pigeon walks 4.0 m west, 2.5 m north, 1.1 m west, and 7.3 m south.…

A: We know that We have given that the A pigeon is walking around the courtyard, looking for food  Let…

Q: 6) Given the three vectors A = 1.00 î - 4.00 j, B = 3.00 î, and Ĉ = -2.00 j evaluate the following…

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Q: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

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Q: Consider the two vectors A = 5i- j and B--i- 4 j. (a) Calculate A +B i+ (b) Calculate A - B i+ (c)…

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Q: Which expression is FALSE concerning the vectors shown in the sketch? В A O A + B = C- O A+B +C = 0…

A: Given data:  The vectors A, B and C

Q: Determine the angles made by the vector V = (-63)i + (-31)j with the positive x- and y-axes. Write…

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Q: given vectors of magnitude A=20 at -20 degrees, B=10 at 45 degrees, C=7 at 66 degrees; calculate in…

A: Given: A = 20 at -20 degrees B = 10 at 45 degrees C = 7 at 66 degrees

Q: Determine the magnitude and direction of the vector A = (-23.0)î + (38.8)j. |A| = ° counterclockwise…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.