What is the direction of the vector that points from P1 (5,3) to P2 (-6,8) ?

Q: 01. Given displacements of 3 km [E] and another of magnitude 5 km... a) Place the vectors end to end…

A: The displacement is maximum when the vector of magnitude 5 is oriented at an angle 450 to the 3m…

Q: The vector A has a magnitude of A = 9.5 and a direction of 18 degrees from the positive x axis. What…

A: Write the given values with the suitable variables. A=9.5θ=18° Here, A is the magnitude of the…

Q: Given vectors, Ā = 21 + 4)-7k Č = 21 – 4j – 7k B=-21+4]-7k. D=21+4) +7k Solve the following: 1.…

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Q: Consider the two vectors A = 5 î-j and B = - î – 4 j. %3D (a) Calculate A + B î + -5 1) (b)…

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Q: The components of vectors B and C are given as follows: Bx = -9.2 Cx = -4.5 By = -6.1 Cy = 4.3 The…

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

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Q: AB- AB sine, where @ is the angle between the two vectors

A: Remember the vector law and formulas

Q: Two vectors are presented as a = 6.0i + 4.5j and b = 5.5î + 2.5j. Find the following. (Hint: For…

A: Given that:a→=6.0i^+4.5j^b→=5.5i^+2.5j^

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: B -2 -4 -2 2. Consider the two vectors, A and B, in the figure. The x and y components of both…

A: Write the x- and y-components of the given two vectors as follows. Ax=-2Ay=4Bx=-3By=1

Q: A boat moves from a point A (4î+5ĵ) to another point across the river. The new position of the boat…

A: Displacement vector=change in position vector. Given ri→=4i^+5j^rf→=-7i^-9j^

Q: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

Q: M = -3î + 6j – 5k and Ñ = -2î + 3ĵ +.k The magnitude of vector N is: А) 3.74 B) 8.37 c) 70 D) 14 E)…

A: Given The vectors are given as M→=-3 i^+6 j^-5k^ and N→=-2 i^+3 j^+k^   We have to find magnitude of…

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: Given the three vectors, A = 3i+2j-k, B = -6i-4j+2k and C = i-2j-k, find which two vectors are…

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Q: A child is standing on the edge of a cliff overlooking a river. The cliff is 12m above the edge of…

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Q: Determine the angle in degrees between vectors P & Q.   P = 13i −5j + 21k m Q = 12i+4k m

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Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

Q: Consider the two vectors A = 5 î -j and B = - î - 6 j. (a) Calculate A +B (b) Calculate A - B (c)…

A: Given data The vector A is given as A→=5i^-j^. The vector B is given as B→=-i^-6j^.   a) The…

Q: A = 5i + 2j B = 2i-3j + 2k C = 3i + k Which of the following is the result of the A-B + C operation…

A: A=5i+2jB=2i-3j+2kC=3i+kA-B=5i+2j-2i-3j+2k         =3i+5j-2kA-B+C=3i+5j-2k+3i+k…

Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j +.§ The expression 2N – M is: A) -12i- 36j +…

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Q: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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Q: How is the new velocity vector defined if an airplane initially traveling on the x-axis with the…

A: Initial velocity = u = i^

Q: -Ja, IFA - 2a, + 6a,- 3a, and B- - 3a, - of A- B (b) the magnitude of A + B; (c) |[(A + 3B)/IA +…

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Q: What is the magnitude of the vector đ? -10 10 -10 O 5

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Q: 24. Find the x- and y-components of the four vectors shown in the drawing. y4 y4 7.0 m 20.0° x 20.0°…

A: Given, Four vectors

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

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

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Q: What is the difference (A - B) of the following vectors? Show your solution A = 3i+5j - 2k and B =…

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Q: What is the sum of the following vectors? Show your solution A= 3i +5j - 2k B= - 4i + 2j + 3k

A: A→ = 3i^ + 5j^ - 2k^B→ = -4i^ + 2j^ + 3k^

Q: You have the following vectors: A=-7.9i+9.73 B-7.11+-1.23 Calculate the magnitude of A - 2B. Your…

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Q: If the vectors A = 6i + dj + 4k and B=i-j+k are perpendicular (lai).What is the value of d? O there…

A: Given that---- vector A = 6i +dj +4k Vector B = i - j + k Question ❓ what is the value of d ?

Q: Given two vectors: M = -31 + 6j – 5k and Ñ = -21 + 3j + k %3D The magnitude of vector N is: A 3.74…

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Q: 8. Vectors A and B are shown below. What is -5.00A + 4.00B ? B 5 4 3 -2 2 3 4 $z A

A: The position vector A will be, A→=-3i⏜-3j⏜ The position vector B will be, B→=-2i⏜+4j⏜

Q: f a= (5, -12), what are the magnitude and direction of a?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: Consider the two vectors A = 2 i - 2j and B = - i- 3j. (a) Calculate A +B (b) Calculate A -B (c)…

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Q: When you throw a ball through some trajectory (the angle above the horizontal is between O and 90…

A: In this question we have to answer which vectors remain constant during the trajectory. Please give…

Q: F5+F6+F7= -0.117i + 0.059j   what would be the polar coordinates of this vector.

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Q: 8 Consider the two vectors given in the figure, what is their SUM in the unit vector notation? *…

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Q: Given two vectors: M = -3î + 6j – 5k and N = -2î + 3j + k The magnitude of vector N is: A) 3.74 B)…

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Q: If vector A is A = and B = , then 6A-4B is

A: The vector A and B can be written in the given form as below,

Q: What is the position vector of the point (-5,7)?

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Q: Show that the vectors A = 2i-j+k, C=3i+4j + 4k form the sides of a right triangle. Bi-3j-5k

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Q: Consider the two vectors A = 3 î - 3 j and B = - î - 4 î. (a) Calculate A +B 2 |î + -7 (b) Calculate…

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Q: Two vectors are given by å = (4.0 m)î – (3.0 m)ĵ + (1.0 m)k and b = (-1.0 m)î + (8.0 m)ĵ + (2.0 m)k…

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Q: the position vector for a particle in the rectangular coordinate (x, y, z) for the points (-5, (-6,…

A: The position of a particle in a rectangular coordinate (x,y,z ) is given as points (-5, -6, 3).

Scalars and Vectors

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