If B is added to Á, under what conditions does the resultant vector have a magnitude equal to A + B? Under what condi- tions is the resultant vector equal to zero?

Q: Vector  A  has a magnitude of 32 units and points in the positive y-direction. When vector  B  is…

A: Vector A has magnitude of 32 units along positive y-direction Vector B is added to it and the…

Q: Vector a has magnitude 3√2, vector b has magnitude 5 and the angle between a and b is 135°. What is…

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Q: Given the following components for vectors A–C, find the magnitude and direction for the resultant…

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Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: Given: A, = -3 units Ау -2 units 8. Determine the expression of A in a unit vector notation. 9.…

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Q: A vector has components Ax = 12 m and Ay = 5.0 m. What is the magnitude of vector ?

A: Given the x and y components of vector A.Ax = 12 m and Ay = 5 m

Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

Q: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…

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Q: A vector having the same magnitude as A but in the opposite direction to A is denoted by (1/A). O…

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Q: The magnitude of vector a is 35.0 units and points in the direction 325 degrees counterclockwise…

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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: If a vector has a x-component = - 53.7 m and a y- component = -12.3 m, what is the direction of the…

A: The vector diagram for the provided vector is:

Q: A vector has a magnitude of 3.50 m and points in a direction thatis 145° counterclockwise from the x…

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Q: What is the resultant vector of a vector A 5m going to South and vector B 6 m going to West?

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Q: A vector B, when added to the vector C = 3.0i+4.0j, yields a resultant vector that is in the…

A: Given data: C→=3.0i^+4.0j^ The resultant vector has a magnitude of C and the direction is on y-axis.…

Q: The components of vectors and are as follows: (1, -1) and (2, 4). The components of the resultant…

A: Question is to find the components of the resultant vector.Given (1,-1) and (2,4) are components of…

Q: The y-component of a vector having length 150 m at an angle of 30° with x-axis will be equal to..

A: vector, R  = 150 m  Angle, A = 30 degree from + X axis

Q: If F1, stands for a force vector of magnitude 30.0 N and F2 stands for a force vector of magnitude…

A: The magnitude of resultant force vector of two force vectors F1 and F2 , is calculated using cosine…

Q: A vector A has components ax= -4.50 m and Ay= 9.00 m find the magnitude and the direction

A: Given values, Components of vector A→: Ax=-4.50 mAy=9.00 m

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: If vector B is added to vector A, which two of the following choices must be true in order for the…

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Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: The x-component of vector  R  is  Rx = −27.2  units and its y-component is  Ry = 31.4 units.…

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Q: Add the following Forces graphically and analytically to find the resultant vector, the magnitude of…

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Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: Vector A has a magnitude of 40 units and points in the positive y direction. When vector i is added…

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Q: Given: The vector à has a magnitude of 29 units and points in the positive y direction. When vector…

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

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Q: There are two vectors. Vector A=125x-160y and vector B=-220x+135y(in meters) Find the magnitude and…

A: Given data The vector equation of vector A is A→=125x^-160y^. The vector equation of vector B is…

Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C

Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?

Q: vectors A=3ft, B=4ft, and C=5ft are perpendicular from each other, what is the total resultant…

A: Given, Vectors, A=3 ft, B=4 ft,C=5 ft

Q: Vector A has a magnitude of 36 units and points in the positive y direction. When vector B is added…

A: The magnitude of vector A, A→=36 j^   The magnitude of vector A+B, A→+B→=-28 j^

Q: ector has a magnitude of 3.04 units and points due east. Vector points due north. (a) What is the…

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Q: If b is added to a Under what condition does the resultant vector have a magnitude equal to a+b…

A: Given Two vectors a and b Required : When is the magnitude of the resultant vector a + b. When is…

Q: What are (a) the x component and (b) the y component of a vector á in the xy plane if its direction…

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Q: The resultant vector of A and B is 15 units long and is directed 60o north of east. If A is also 15…

A: The resultant of two vectors A→ and B→ is:R→=A→+B→………(1)

Q: What is the magnitude of the resultant vector: D+F?

A: Solution:-

Q: The X component of a displacement vector or is -153 m, well it why component is -180 m find the…

A: Solution :X - component of a displacement vector          = -153 m          = -153 x^ . Where x^ is…

Q: If two vectors Ä and B are parallel and pointing in the same direction, the magnitude of the their…

A: The operation of adding two or more vectors together to form a vector sum is known as the addition…

Q: Using graphical approach in vector additon and a scale of 1cm:0.5Km, what is the resultant vectors…

A: Here we have given graphical sacale 1cm : 0.5km That 1cm is equivalent to 0.5km.

Q: Let Å be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of…

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Q: If vector A has a magnitude of 36.0 m in the x direction and vector B has a magnitude of 17.0 m in…

A: Given  A=36 i m B=17j m

Q: If a vector 2i^+3j^−4k^ is perpendicular to the vector 3i^+j^+αk^, then the value of α is

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Q: Using the polygon method; determine the resultant vector. Considering these following vectors: A =…

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Q: If the x-component of a vector is 3m and the y-component of the same vector is 4m, then what is the…

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

A: Given that,V1=3 msv2=4 msv3=6 ms

Q: A vector has a y-component of 6.03 units and is oriented 18.17 degrees south of east. What is the…

A: Given: Magnitude of y-component of vector = 6.03 unit is oriented θ = 18.17° south of east.   To…