An air traffic controller observes two airplanes approachingthe airport. The displacement from the control tower to plane 1is given by the vector A>, which has a magnitude of 220 km andpoints in a direction 32° north of west. The displacement from thecontrol tower to plane 2 is given by the vector B>, which has a magnitude of 140 km and points 65° east of north. (a) Sketch the vectors A>, -B>, and D>= A>- B>. Notice that D>is the displacementfrom plane 2 to plane 1. (b) Find the magnitude and direction ofthe vector D>

Q: If two vectors have the unequal magnitude, can their resultant be equal to zero?

A: The only way two vectors can have a resultant of zero is if they are anti-parallel vectors of equal…

Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

A:

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: 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: Vector m=4.00 points eastward and vector n=3.00m southward. The resultant vector m+n is given by?

A: Given data:  M = 4.00 m, towards East  N = 3.00 m, towards South Required: Resultant vector M+N

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: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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

A:

Q: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?

A: The magnitude of 2A+B can be calculated in given steps.Given:

Q: Given the vector A = 100.00N at 30.00º above the negative x-axis. In terms of rectangular form, the…

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Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

A:

Q: To get from one office to another in a company, a man travels as follows: A = 15m due West B = 25 m,…

A: Given: A→ = 15 m due west  B→=25 m, 53° East of North  C→= 20 m due East.

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

A:

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

A:

Q: The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34o west of…

A: According to question we need to find--- (a) the x-component of E, Ex, ? (b) the magnitude and…

Q: Four displacement vectors of a croquet ball are shown in Figure, where A = 20.0 units, B = 40.0…

A:

Q: To get from one office to another in a company, a man travels as follows: = 25 m, 53° East of Nor =…

A: Given B=25 m, 53o East of North =25 m, 37o North of East.

Q: Vector A has an x component Ax=6 and a y component Ay=5. Vector B has an x component Bx=2 and a y…

A: Given data:  Vector A  Ax = 6, Ay = 5 Vector B Bx = 2, By = 1 Required:  Magnitude of the vector…

Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

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

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Q: Vector A>has a magnitude of 50 units and points in the positivex direction. A second vector,…

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Q: If a force vector has a magnitude of 3.28 Newtons and points 79.1 degrees south of East, then what…

A: Given the magnitude of force, F = 3.28 N It points 79.1 degrees in south of east [SE] direction Its…

Q: A vector has component Ax=-3.50m and Ay=6.00m. Find the magnitude (in m) and the direction (in…

A:

Q: If two vectors have magnitude of 5 and 12 respectively, and are right angles to each other then what…

A: Let, the two vectors be named as 'A' and 'B'  given : magnitude of vector A = 5  magnitude of vector…

Q: Two vectors have length V1=3.5 km  and V2= 4.0 km.What are the maximum and minimum magnitudes of…

A: The length of the two vectors,

Q: A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

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

A: Given value--- sum of vector D,E and F = 24.80 cm , 21.34 degree west of North . vector D = 30 cm ,…

Q: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…

A: distance travelled in south = 20.0 m/s x (3.00x60 sec)= 3600 m west =  25.0 m/s x ( 2.00x60 sec) =…

Q: A has a magnitude of 27 and is parallel to B which has a magnitude of 16. Let R = A + B, let S-A-B,…

A:

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: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

A:

Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

A: Given: The magnitude of vector u is 3. The magnitude of vector v is 4. The angle between the vectors…

Q: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

A:

Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

A:

Q: The resultant of two vectors is 20 units long and makes angles of 20o and 50o with the two vectors,…

A: Given, Length of resultant,R=20 units Angle of resultant with vectors,θ1=20°,θ2=50°

Q: Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north…

A: Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north…

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 instead the superhero leaps in the other direction along a displacement vector B to the top…

A: Given data: X-component of the displacement vector is, Bx = -25 m Y-component of the displacement…

Q: Consider the three displacement vectors A (3i- 35)m, B= (2i- 4)m, and C (-2i + 7j)m. Determine the…

A: A→= 3 i^ - 3 j^B→= 2 i^ - 4 j^C→= -2 i^ -7 j^M→= A→ + B→ +C →M→= (3 + 2 - 2) i^ +(- 3 - 4 + 7) j^M→…

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

A:

Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: Vector A has a magnitude of 23.0 m and makes of 30o above the positive x axis. Vector B has a…

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Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

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Q: Given vectors A (0i + 10j – 8k) N and B 3i – 63 + 8k ) N, find the magnitude of - resultant of these…

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Q: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

Scalars and Vectors

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