For the displacement vectors a = (3.0 m)i + (4.0 m)j and b= (5.0 m)i + (-2.0 m)j , Give b-a (a) in unit-vector notation (b) as a magnitude (c) as an angle (relative to i).

Q: Find the angle between each of the vector pairs: A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A…

A: Given vector pairs   A) A = -2.00i + 6.00j and B = 2.00i - 3.00j B) A = 3.00i + 5.00j and B = 10.00i…

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: Two vectors , and F, lie in the xy-plane as shown in the figure below. If F, = 30 units, and F2 = 20…

A:

Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

A:

Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

A:

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

A:

Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: Find the angle between each of the following pairs of vectors. A = -2.00i + 6.00j and B = 2.00i –…

A:

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

A:

Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

Q: for vector A=1.00i-2.00j and b=3.00i+4.00 jwhat are the magnitude and direction of vector c= A +B

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

A:

Q: What is the magnitude of the vector r=7.9i - 3.0j, where i and j represent the x-and y- unit…

A:

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

A:

Q: Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of…

A:

Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: The figure shows three displacement vectors À , B , and Č .These vectors are arranged in tail-to-…

A: Please see the answer below.

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector.

A:

Q: Q6. Three displacement vectors (A, B, and Ĉ) are shown in Figure, where the magnitude of the vectors…

A:

Q: 3. A student adds two displacement vectors with magnitudes of 6.0m and 8.0 m, respectively. Which…

A: To determine: The magnitude and resultant which is not possible from the choice given, for a student…

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and     D = 2.00x – 3.00y – 4.00z…

A:

Q: The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C =…

A:

Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: What is the component of the force vector G = (3.0i + 4.0j  + 10.0k  )N along the force vector H =…

A: Given: G→=3.0i^+4.0j^+10.0k^ N H→=1.0i^+4.0j^ N

Q: Two vectors are given by d = (5.0 m)i - (6.0 m)ĵ + (1.0 m)k %3D and b = (-1.0 m)î + (1.0 m) ĵ + (2.5…

A: Given,a→ = 5.0 m i^ - 6.0 m j^ + 1.0 m k^b→ = -1.0 m i^ + 1.0 m j^ + 2.5 m k^

Q: With the given three vector A, B, C. Determine the magnitude product of CxA A= 2i - 3j + 4k B= -3i -…

A:

Q: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

A:

Q: 1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and…

A: 1. Given: A→=-2i^+4j^ mB→=i^-3j^ m

Q: Determine the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.…

A:

Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

Q: Given two vector A -5.00i – 9.00j+ 4.00k and B = -4.00i + 6.00j – 2.00k what is the vector product A…

A:

Q: Given the following vectors: A = 80.0 N 25.0° south of east, B = 100. N 82.0° north of east C = 40.0…

A:

Q: For the displacement vectors i = (3.0 m)î + (4.0 m)ĵ a (-2.0 m)j, give ř, + i, in (a) unit-vector…

A: Givenr1→=3.0 mi^+4.0 mj^r2→=5.0 mi^+-2.0 mj^

Q: Consider the three displacement vectors: Å = (3î – )m B = (i – j)m Č = (2î – j)m Determine the…

A: Given A̅= (3î - ĵ ) m  B̅ = (î -ĵ) m  C̅ = (2î- ĵ) m

Q: Given the following vectors: A = 80.0 N 25.00 south of east, B = 100. N 82.00 north of east…

A:

Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

A:

Q: You are given the following vectors A = 14.0 x- 3.0 y, B=4.0 x + 10.0 y, C = 8.0 x -4.0 y The…

A: Given vectors, A=14.0x-3.0yB=4.0x+10.0yC=8.0x-4.0y

Q: If the two displacement vectors with magnitudes of 6.0 m and 8m which could not be a possible choice…

A: The resultant of the displacement will lie between the maximum and minimum value of the resultant of…

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

A:

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i – 8j –…

A:

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

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…

Scalars and Vectors

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