Find the derivative of y = 2x² + 1.
Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…
A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)
Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…
A: The magnitude of the cross product is given by A→×B→ = A B sinθ where, θ is the angle between two…
Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В
A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…
Q: Find the direction of the given vector: A = (9.95)i + (-3.77)j Measure the angle with respect to the…
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Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…
A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk
Q: Find a vector (v) with an initial point <-5,-5,-4> and a terminal point of <4,-10,4>.…
A: The objective of the question is to find the vector v with given initial and terminal points and…
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: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…
A: Given The vector is given as A→=7.2i^-4.6j^ We have to find the magnitude of the vector and the…
Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…
A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…
Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…
A: Given data The vector G is given as G→=2i^-3j^+k^. The vector H is given as H→=2i^+j^-k^. The dot…
Q: = Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at…
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Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…
A: Given, A=1 Resultant R=2 Angle A=90o
Q: B
A: We have to use vector addition here
Q: M Y Z N
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Q: Find the cross product vectors A =i – 2j+ 3k and B = 2i + 3j - k
A: Given that:To determine the cross product of vectorsA=i-2j+3kB=2i+3j-k
Q: For the vectors a = and b = find orthab.
A: Vectors are given as and Note:Find:Orthogonal projection of on , that is,
Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…
A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:- Formula used:-
Q: A vector has components Ax = 48 m and Ay = 21 m. Find the length of the vector A and the angle it…
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Q: Vector A = 5.1 i + 4.9 j. Vector B = 6.9 i + 3.7 j. The dot product of the two is C = A ∙ B (i.e. A…
A: Given that: A = 5.1 i + 4.9 j B = 6.9 i + 3.7 j To determine: C = A ∙ B
Q: Find the angle between vectors for the following. (Enter the smallest positive angle for each in…
A: (a) The angle between the two vectors can be found by taking the dot product of the two vectors and…
Q: 4. Evaluate the following unit vector multiplications: 6 x k) • t () x k) x i Û ×k) × k А. 1 В. 1 С.…
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Q: find (a) 2u + v and (b) 5u - 2v.
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Q: (a) Sketch the two vectors in the xy-plane, and label the angles. (b) Compute A· B . (c) Using the…
A: a) The given vectors are, Analyze the following figure representing the given vector.
Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…
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Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…
A: Given:- Three displacement vectors have a magnitude as A=2.70 km B = 5.30 km and C = 4.40 km…
Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.
A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)
Q: polar angle of point
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Q: Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 2.00. What should be…
A: Magnitude of vector A = 2.00Magnitude of their sum (R) =5.00Angle between the vectors = 900
Q: Imagine that you take the cross product A x B, where A-22 +79 and B-10€ +99. What is the z-component…
A: Given value--- A = 2 x + 7 y . B = 10 x + 9 y . We have to find--- z component of resulting…
Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…
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Q: Find the angles that vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )m makes with the x-, y-, and z axes.
A: The angles vector D makes with axis x, y and z is given by the formula,
Q: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…
A: Consider the vectors are:
Q: Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise…
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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…
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