Let vector E = (9 i + 7 j) and vector F = (7 i - 10 j). Find the magnitude of E. Find the magnitude of F. Find the magnitude of E + F. Find the magnitude of -E - 2F

Q: 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…

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Q: if three vectors with magnitude 30, 40, 50 are added together, which of the following cannot…

A: Given : Three vectors with magnitude 30, 40, 50

Q: Vectors A and B are shown in the diagram below. Vector C is given by C = B - A. What is the…

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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: O O O O O Consider two vectors A and B of magnitude 2 and 3 respectively. The sum of these two…

A: For, the resultant vector we need two vectors and the angle between them.

Q: Vectors A and B are perpendicular and have the same nonzero magnitude (A = B). If C = A + B, what is…

A: The magnitude of sum of two vectors is,  C=A2+B2+2ABcosθ Here, θ is angle between vectors A and B.

Q: hen he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain…

A: Given data :-   He started from a harbor in Hawaii and traveled 100 km, 50 degrees W of S.  he did a…

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

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

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

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Q: Given that u is a vector of magnitude 2.5, v is a vector of magnitude 3 and the angle between them…

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Q: What is the resultant magnitude when adding the two vectors below 23 N 23 46 23 /2 529 N EZ

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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: 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: FF $ € U E 72 degrees 90 degrees O 18 degrees Ⓒ270 degrees O 342 degrees O 162 degrees O 252 degrees…

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Q: 19 A vector A has a magnitude of 3 ur direction of the following vectors? C (a) A+ B magnitude un…

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

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Q: Determine the magnitude of the vector sum V = V, + V½ and the angle 0g which V makes with the…

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Q: B (15.0 m) D (10.0 m) 30.0 53.0 25.00 Č (12.0 m) A (8.00 m) ne X component of the vector D shown in…

A: 1.  Suppose given that Vector is R and it makes angle  with +x-axis, then it's components are given…

Q: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector  B=…

A: When the vectors are perpendicular, then their dot product will be zero.…

Q: Find the magnitude and direction cosine of the vectors Vector a = 3i + 7j - 4k vector b = i - 5j -…

A: Given: a→=3i→+7j→-4k→b→=i→-5j→-8k⇀c→=6i→-2j→+12k→ To find: magnitude and direction cosines

Q: A 5.1, = A = -5 y X B = -2.6, B = 4.3 X y

A: Given  Ax=5.1 , Ay=-5 Bx=-2.6 , By=-4.3 Required magnitude of A+B

Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

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

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Q: If vector A A→ has components Ax and Ay and makes an angle θ with the +x axis, then 1) A=Ax+Ay…

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Q: 2. A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

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: Addition of Vectors. Vector A has a magnitude of 3 units directed 30° south of east while Vector B…

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Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. V26 b. 2 С. 3.5 d. V5…

A: Vector A=2i→+2j → Vector B=1i→-2j→

Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: Vector a has a magnitude of 12 units and makes a 60° angle with the +x axis. What is the y component…

A: The y component of vector α is    αy=αsinθ Here α=12 units and θ=60o

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

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Q: Given two displacement vectors in unit vector notation A = 3.50î – 1.50ĵ + 9.25k B = 2.50î + 4.50ĵ –…

A: Given Data: The displacement vector A is given as, A=3.50i^-1.50j^+9.25k^ The displacement vector B…

Q: Consider the three displacement vectors A = (4î – 35) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: Given : A→=4 i^-3j^   m B→=2 i^-5 j^   m C→=-3 i^+5 j^   m   D→=A→+B→+C→ What we have to find :…

Q: The components of vector 4 are Ax = +2.2 and Ay = -6.9, and the components of vector B are given are…

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Q: The angle made by the vector A-i+j with x- axis is (a) 90° (b) 45° (c) 22.5° (d) 30°

A: Given vector A→=i^+J^

Q: Determine the magnitude of the vector V and the angle e which vector V makes with positive x-axis?…

A: Calculate the angle of V1. θ1=tan-134=36.87 Write the expression for the unit vector notation of…

Q: Two vectors are given by  = (5.5 m)i − (4.0 m)j + (1.0 m)k and  = (−1.0 m)i + (1.0 m)j + (5.5 m)k.…

A: Here 2 vectors are given and Arithmetical operations are asked. a = (5.5 m)i − (4.0 m)j + (1.0 m)k b…

Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: Let vector E = (4 i + 4 j) and vector F = (3 i - 9 j). Find the magnitude of E + F.  Find the…

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Q: Vector A has components Ax = -16.1 and A, = -4.32. What is the magnitude A of this vector? Determine…

A: The x-component of A→, Ax=-16.1 The y-component of A→, Ay=-4.32

Q: Given the vectors Ā = (-2î + ĵ) m and B = (4î – j) m: The magnitude of the resultant vector R = 2Ã +…

A: Given data: Vector A is, A→=(-2i^+j^) m. Vector B is, B→=(4i^-j^) m

Q: The figure shows four vectors, A, B, C , and D , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00…

A: The magnitude of vector A is, The magnitude of vector B is, The magnitude of vector C is, The…

Q: Suppose that A= 2i + j, B = i– 4j + k, and Ĉ =j+k. What is the magnitude of the vector 2Å –B + Č, A)…

A: Given  Vectors are given as, A →=2i^+j^ B→=i^-4j^+k^ C→=j^+k^ Required  We have to find magnitude of…

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

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Q: 1. Vector A = 1.00 i +-2.00 jand vector B-3.00 +4.00. What are the magnitude and i direction of…

A: Given:A→ =1 i^ - 2 j^B→ =1 i^ - 2 j^Solution:C→ = A→ + B→Applying values we get:C→ =1 i^ - 2 j^ + 1…

Scalars and Vectors

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