1.10 Perpendicular unit vectors Given vector A = 3i+4j - 4k. (a) find a unit vector B that lies in the x-y plane and is dicular to A. perpen- (b) find a unit vector C that is perpendicular to both A and B. (c) Show that A is perpendicular to the plane defined by B and Ĉ.

Q: Two vectors with lengths 1.00 m and 2.00 m have an angle, q = 30.0°, between them. What is the…

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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: The x component of a displacement vector r is -155 m, while its y component is -174 m. (a) Find the…

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Q: A force Vector has a magnitude of 100N directed at an angle of 30deg above x - axis, calculate the…

A: Given : F = 100 N θ = 30°

Q: Vector A has a magnitude of 23 units and points in the positive y-direction. When vector B is added…

A: A→+B→=-1523+B→=-15B→=-15-23=-38 unit

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

A: Given Magnitude r = 9.6 m Direction θ = 238o

Q: A vector A has components A -5.00 m and A, = 9.00 m. Find (a) the magnitude and (b) the direction of…

A: Given data:  x-component of the vector (Ax) = -5.00 m y-component of the vector (Ay) = 9.00 m…

Q: For a given 3-Dimensional vector: A = Axi + Ayj + Azk Its magnitude maybe obtained by product also…

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

A: Given:    Magnitude of vector = 9.4m                                          Direction = 185o…

Q: Let's Appraise The magnitude of a vector F is 10 units and the direction of the vector is 60°…

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Q: Vector A has a magnitude of 16.6 and is at an angle of 15.5° counterclockwise from the +x-axis.…

A: vector A has magnitude 16.6 at angle 15.5° vector B has magnitude 24.7 at angle -35.3   it is…

Q: Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and…

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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: To find the resultant vector's direction; the angle the vector makes with the x-axis can be…

A: Given, Resultant R vector of two forces In this  question, we have to find the angle made by the…

Q: Determine the component Rx, Ry, and Rz of the vector with a magnitude of 600 units. Also, draw the…

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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: Vector A has magnitude 3.0 m and points to the right; vector B has magnitude 4.0 m and points…

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Q: Note that in science and engineering area is considered a vector quantity. Its magnitude is defined…

A: Area is a vector quantity.Its magnitude is length time width.

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: Vector a has magnitude 1/√3, vector b has magnitude 4, the angle between a and b is 60° and n is the…

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Q: Vectors and are shown in the figure. Vector A B is given by →=> → The magnitude of CB A vector is…

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Q: In the sum Á + B = Ć ,vector Á has a magnitude of 13.4 m and is angled 35.2° counterclockwise from…

A: Given A=13.4m θ=35.2  C=14.1 m α=13

Q: a displacement vector located in x,y plane . its magnitude is 5 m and its angle 120 from the…

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Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 29.3 and an angle of 0…

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Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

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Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: the…

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Q: the components of vector Q are given as follow: Qx+23.5m Qy=18.6m What is the measure of the angle…

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Q: Make the third vector approximately the same length as the first two vectors but place th R = 22.5…

A: Yes, isaw all parts and all entries are correct. Well done. You did exact components and then by…

Q: A vector is added to The resultant vector is in the negative (-y) direction and has a B = 5î – 103.…

A: Let A→ = Axi^ + Ayj^B→ = 5i^ - 10j^Let resultant (R→) = -Ry j^

Q: There are two vectors lying on Q1 of the rectangular plane. Vector A = 125N at 75 degrees and vector…

A: Write the vector A. A=125 N @75o   Write the vector B. B=150 N @ 0o

Q: Vector A has a magnitude of 11.1 and is at an angle of 70.5° counterclockwise from the +x-axis.…

A: Vector A→ has a magnitude of 11.1 at angle of 70.5o counterclockwise from +x-axis.  The components…

Q: Two vectors A and B are shown in the figure. Vector A has a magnitude of rA = 24.5 and an angle of…

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Q: * avector value of A.5.5 and De122, write this Vector in unit veebor ( unit Vector i opz cis)

A: Given: A vector value of A = 5.5 θ=122o To determine: Unit Vector. Formula used: Ax = Acosθ Ay=Asinθ

Q: Vector A⃗A→ has components AxAx = 5 mm and AyAy = -3 mm. Vector B⃗B→ has a magnitude of 8 mm and…

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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: 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: A displacement vector r→ in the xy plane is 49.0 m long and directed at angle θ = 28.0°. Determine…

A: A displacement vector is a vector, that shows the direction and distance traveled in a straight…

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: Consider a Vector A =2î – 2 + 6k and another vector B=13î + 73 – 4.5k. Both of them has unit of…

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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: 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: The x-component of vector R is R = -28.4 units and its y-component is R₁ = 23.6 units. What are its…

A: Given The x component of the vector R, Rx=-28.4 Units The Y component of the vector R, Ry=23.6 Units…

Q: The magnitude of vector  A  is 18.5 units and points in the direction 310° counterclockwise from the…

A: Given information:“A” is a vector of magnitude 18.5 unit and makes an angle 3100 with positive…

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: Vector A has x and y components of -9.00 cm and 18.0 cm, respectively; vector B has x and y…

A: Given data:  The components of vector A and B Ax = -9.00 cm,  Ay = 18.0 cm Bx = 12.8 cm,   By =…

Q: A vector A has components Ax = −5.50 m and Ay = 4.00 m. Find the magnitude (in m) and the direction…

A: The magnitude of the given vector is,Substitute the values,

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

A: Given: P = 7.3 m  A = 250°

Scalars and Vectors

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