Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b. 18 m (East) and 5m (South) c. 55 N (30° N of E) and 72 N (80° E of S) d. 44 m/s2 (South), 26 m/s2 (33° E of N), and 15 m/s2 (East)

Q: For the following vector r =3i -10j , find the direction

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Q: A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude…

A: Given,          A displacement vector points in a direction of 31 degrees left of the positive…

Q: Find the direction of vector A relative to the + x-axis if Ax = 3.0 m and Ay = -5.0 m.

A: The direction of vector A relative to the + x-Axis is 59.036°

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

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Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

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Q: Illustrate the following vectors and calculate the resultant vector. Show your process and box your…

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Q: R=A-B+C+3D = ? D R Which of the following is the coordinate for the resultant vector a. -2, 2 X b.0,…

A: The given vectors can be written in the coordinate form as follows : A = (-2,2) B = (2,1) C =…

Q: Vector A has y-component A, = +14.0 m. A makes an angle of 32.0° counterclockwise from the +y-axis.

A: Given data:  Y-component of the vector A Ay = +14.0 m Angle (θ) = 32.0°, counter-clockwise from…

Q: What Componen Of a vector with magnitude 1s and divection GO? The choices below are in the format…

A: Correct option is (4) i e  ( 7.5 ,13)

Q: 1. N Find the magnitude of the vector B = - 2.00f + 3.00ĵ – 4.00k.

A: B→=-2.00j^+3.00j^-4.00k^=1.00j^-4.00k^B→=1.002+-4.002=4.12

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.340 west of…

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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: Two vectors, V1 and V2, add to a resultant VR = Vj + V½. Describe V, and V, if (a) VR = Vị + V2, (b)…

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Q: Write each vector in components as ai + bj + ck or (a, b, c). Then find its length. P¡ P2 if P, is…

A: Write the given vectors in components as follows.…

Q: Sketch and determine the magnitude and the direction cosines of the vector given a position. d Rx Ry…

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Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: ind the magnitude of vector C if C = A + B and A= -2.00i + 3.00j + 4.00k & B= 3.00i + 1.00j - 3.00k.…

A: A = -2.00 i + 3.00 j + 4.00 k & B = 3.00 i + 1.00 j - 3.00 k The vector C is given by  C→ = A→ +…

Q: 2. Given 3 vectors: Vector 1 is 500N at 30°, Vector 2 is 300N at 150° and Vector 3 is 400N at 270°,…

A: Given data:  Force (F1) = 500 N at 30° Force (F2) = 300 N at 150° Force (F3) = 400 N at 270°…

Q: calculate the vector axb when a=3i+4j-3k and b=i+3j+2k

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Q: Given two vectors A = -2.00i3.00j4.00k and B 3.00i 1.00j 3.00k. Obtain components of a unit vector…

A: Given:

Q: A runway dog walks 0.64 km due N.He then runs fue W to a hotdog stand.If the magnitude of the dog's…

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Q: Question 9 Assume these three vectors are acting on an object. 1. magnitude = 50, 0 = 300° 2.…

A: Draw the schematic diagram of the vectors.

Q: 5- C FR 3- 6 5 -4 -3 -2 -1 2 3 4 5 6 7 1 -1 -2 -3 17

A: C+D = i + 6j -4i +2j = -3 i + 8 j

Q: 62. GO A pilot flies her route in two straight-line segments. The displace- ment vector A for the…

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Q: Given vectors a=(-4,-5) and b=(-9,-7) Find the magnitude of the resultant vector: r=5a-3b

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Q: Imagine two force vectors, one of magnitude 2.00 N, and the other of magnitude 3.00 N. The…

A: When both the vectors are in same direction then there magnitude(length representation) will get…

Q: Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters,…

A: Given -  Magnitude of vector A→ , is A= 5.3 m and is directed along 12o north of east  and Magnitude…

Q: A = +2.0u î + 3.0u ĵ– 1.5u k B = -0.80u î + 3.0u ĵ+ 4.0u k Find vector difference, B - A.

A: (given) A→=+2.0 u i^+ 3.0 u j^ - 1.5 u k^B→=-0.80 u i^+ 3.0 u j^ +4.0 u k^ Vector difference is…

Q: The vector orthogonal to 77+2f and 57 +1ĵ is .. Answer: t

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Q: H.W[4] Vectors Cand D have magnitudes of 3 units and 4 units, respectively. What is the angle…

A: Given data: Magnitudes of vectors: C→=3 units,  D→=4 units

Q: A watermelon seed has the following coordinates: x=-5.0 m, y = 8.0 m, and z = 0 m. Find its position…

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Q: A particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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Q: Add each component vectors to find a resultant vector by using label it as "R." 1. R 3 R. 8. R a 10…

A: if the vectors are the sides of a parallelogram, the resultant is the diagonal of the parallelogram…

Q: "If a vector -A is added to A, then the resultant will be" O 2A A O A

A: Resultant of two vector's addition is given by: R = R1 + R2 Given that Vector R1 = -A And Vector R2…

Q: If vector Á has components Ax = -3.0 lb and Ay = -4.0 lb, and vector B has components By = 3.0 lb…

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Q: Vector A is given by A = 3.00ź + 5.00j. Vector B is given by B=B,i+B,j, where B. = 5.81 and B, =…

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Q: Find the x-component of this vector: 92.5 m 32.00 Remember, angles are measured from the +x axis.…

A: Horizontal and vertical component The projectile's movement horizontally as a result of velocity is…

Q: H H Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant of zero?…

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Q: AvecTar A of Length 10 units makes an angle of 30 with avector B of Length 6units. ind the magnitude…

A: Write the given values of the problem- length of vector (A) A=10 Units length of vector(B) B=6 Units…

Q: A plane flying due north at 100 m/s is blown by a strong wind at 500 m/s due east.  What is the…

A: Let u denote the plane’s velocity, w denote the wind’s velocity, and v denote the resultant velocity…

Q: Draw the vector: 50 N, 30o , North of East

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Q: 1. Given: A = 100m, 30° N of E; B 80m, 30° W of N and C 40m, 55° S of W %3D Plot the given vectors…

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Q: Calculate the vector bxa when a = 3i+ 4j -3k and b =i+ 3j + 2k Answer: i+ j+ k

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Q: Given three vectors: A = 30 m, 30° North of East B= 120 m, 60° North of West C= 100 m West a)…

A: Given: The magnitude of A is 30 m. The direction of A is 30 degrees North of East. The magnitude of…

Q: Determine the magnitudes of vectors  and  so that their resultant is a horizontal vector of…

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Q: -15N What is the rectangular component of vector F2 ? The magnitude of the vector is F2 = 1.5N. What…

A: Option (C) is correct.

Scalars and Vectors

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