Vector A⃗ A→ has magnitude 3.0 mm and points to the right; vector B⃗ B→ has magnitude 4.0 mm and points vertically upward.  Find the magnitude of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→. Find the direction of a vector C⃗ C→ such that A⃗ +B⃗ +C⃗ =0⃗ A→+B→+C→=0→.

Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: Answers: a) -3 b) 39 i +15 j +18k c) 4. What are the x and y components of the vector a, which lies…

A: The magnitude of the vector a, a=7.3 m The angle of vector with the positive x axis, θ=250° The…

Q: Problem #4: The temperature at a point (x, y) on a rectangular metal plate is given by 100 T(x, y)…

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Q: Three vectors á, b, and c, each have a magnitude of 53.0 m and lie in an xy plane. Their directions…

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Q: If a vector   has components Ax > 0, and Ay < 0, then the angle that this vector makes with the…

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Q: Vector  A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis.…

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Q: Which of the following is used to find the component vector in the given direction? O a. Dot Product…

A: Dot product.   For a vector given with direction, the component can be found multiplying the…

Q: Find the angles that vector  D = (2.2î − 4.5ĵ + 1.3) m makes with the +x-, +y-, and +z-axes. (Enter…

A: Introduction: The unit vector along +x-axis is i^, unit vector along the +y-axis is j^, and unit…

Q: vectors A and B with the magnitude 750 N and 900 N respectively, which create some angles with the…

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Q: Let be a vector , whose rectangular components are V = -4 and vy = 3: a) Draw the vector i on the…

A: A vector quantity has magnitude and direction. In two dimensions, a vector is represented by its…

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

A: To find:) magnitude and direction angle of vector A

Q: Given the points P (ρ = 5, Ø = 60°, z = 2) and Q (ρ = 2, Ø = 110°, z = -1)

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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: What is the principal angle a vector located at 52° South of East? O 308° O 142° O 238° о 38°

A: Given, A vector , 52° South of East . Principal angle is the angle in anticlock wise direction from…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points…

A: (given) Vectors are A→, B→ and C→. A→=8 i^B→=6 j^C→=-5 j^ Vector isV→ =A→+B→ +C→    =8 i^+6 j^-5 i^…

Q: are given by đ = 3.01 + 3.0j – 2.0k, 37 Three vectors b = -1.0i – 4.0ĵ + 2.0k, and 7 = 2.01 + 2.0j +…

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Q: Given the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k)…

A: (a) 15.0665 m       (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m        (6) i + (-5) j + (22) k

Q: If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of…

A: The given vectors are, A=4i-3kB=-2i+2j-k

Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

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

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

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Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

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Q: projection of the vector P

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Q: At one point in space, the direction of the electric field vector is given in the Cartesian system…

A: Given  that,unit vector along the direction of electric field E^ =15i^ -25j^Magnitude of  electric…

Q: Two vectors are given by A = 4.00 i + 7.00 j and B = 5.00 i – 3.00 j. What is the resultant…

A: A→ = 4i^ + 7j^B→ = 5i^ - 3j^

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

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Q: 3. Vector A points along the +y axis and has a magnitude of 100.0 units. Vector B points at an angle…

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Q: If the displacement of a point along x-axis is u = 3 mm and the displacement along y-axis is v = 2…

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Q: Draw the following vector. Determine the resultant vector. (scale: 1cm = 10 mm) or make your own…

A: Write the vectors A, B and C. A=4cos40i+4sin40jB=-3cos40i+3sin40jC=3.5cos45i+3.5sin45j

Q: Vector A→ has a magnitude of 16.0 units, vector B→ has a magnitude of 25.0 units, and A→⋅B→ has a…

A: Given data *Vector A has magnitude is A=16.0 units *Vector B has magnitude is B=25.0 units *The…

Q: The magnitude of vector A is 5.5. Vector A lies in the second quadrant and forms an angle of 34…

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Q: Consider two vectors A and B. À = 13î + 15ĵ and B= 16î – 18) Find the unit vector that points in the…

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Q: Given the point P(-0.4 m,0.5 m) in cartesian coordinates: 1. Write the position vector (including…

A: Position vector in form of Cartesian co - ordinates is given as vector component along x-axis and y-…

Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

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Q: (6.00 m )î – (4.50 m )ĵ and B (9.00 Jî + (12.0 m )j. What are (a) the magnitude and Here are two…

A: magnitude of a vector =(Ax 2 +Ay 2  )1/2

Q: Given the displacement vectors A → = ( 3 i ^ − 4 j ^ + 4 k ^ ) m and B → = ( 2 i ^ + 3 j ^ − 7 k ^ )…

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Q: Given E= 1 ar the vector at point (x=1.y=7.z-8) in rectangular form is E = 0,00082156650138745a, 2…

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Q: Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the…

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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: Find the sum of the following four vectors (a) and (b) for x and y components respectively), and a…

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Q: Calculate the angle of vector B that makes each coordinate axis if it has x, y, and z components of…

A: Given value--- it has x, y, and z components of 4, 6, and 3 units. We have to find--- Calculate…

Q: A vector is given by: i = (-2.11) + ( -4.28) ĵ+ ( 2.8 ) k. Determine the component of the unit…

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Q: What are the (a) x and (b) y components of the vector that must be added to the following three…

A: Given value--- A = 105 units, 69.0° south of west. B=237 units, 31.0° south of east. 153 units,…

Q: Consider two vectors, A = 16.5 m at 48.0°, and B = (-12.7Î + 2.30j) m. %3D Determine the x and y…

A: The given vectors, A→=16.5 m at 48°B→=-12.7 i^+2.30 j^ m   The x and y components of A vector,…

Q: The minimum number of Non zero non collinear vectors required to produce a zero vector is A) 3 B) 2…

A: If the two vectors of same magnitude and opposite in direction, the resultant of these two is zero.

Q: 4. Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between…

A: The dot product of two vectors is: