Consider the two force vectors D = (2.37 N)i + (-5.01 N)j + (2.89 N)k and F = (3.45 N)i + (2.01 N)j + ak. What should be the value of a, in units of N, so the two forces are perpendicular?

Q: 9. Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an…

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Q: Two vectors are given by A = 3 î + 4 j andB = -1 î + 2 j. (a) Find A x B. (b) Find the angle between…

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Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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Q: The vectors A and B are given by A = 2î + 3j and B = -i + 29.  (A) Determine the scalar product…

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Q: Q: If A- fi+2f) and E - fi+2f]+ 3f k,fis constant, find the angle between these two vectors?

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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: Consider the two force vectors D = (2.64 N)i + (-5.6 N)j + (2.75 N)k and F = (2.11 N)i + (2.8 N)j +…

A: Given Data: The force vector D is 2.64i-5.6j+2.75k N The force vector F is 2.11i+2.8j+ak N The…

Q: Which among the following is the distributive law for the cross product of three vectors? a)…

A: Option a

Q: Given  vector M= 4 î + 4 ĵ − 5  and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…

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Q: Vector A=7.2i+2.6j vector B=7.5i+7.4j the magnitude of the cross product

A: Given data The vector equation of vector A is given as A→=7.2i^+2.6j^. The vector equation of vector…

Q: The magnitude of two vectors A and B shown in the figure below are respectively A 3m and B = 1.5 m.…

A: The resultant of two vectors is the result of adding them together. The direction of the resultant…

Q: - Given the following vectors, A= -2.00i +4.005-6.00 B = 5.005 +2.00k Č = -3.008 (a) Find A, B, and…

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Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

A: Given thatp→=j-3 kq→=-2 i-j-3 kr→=4 i+j+3 kas s→=p→+q→+r→   =j-3 k+-2 i-j-3 k+4 i+j+3 k…

Q: Consider the two vectors G = (4.55 N)i + (4.99 N)j + (8.16 N)k and H = (2.08 N)i + (5.89 N)j. 1.…

A: The objective of the question is to find the component of vector G along vector H. This can be done…

Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

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Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

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Q: Vector u = &lt;-7,3,-5&gt; and vector v = &lt;-1,1,0&gt;. Find the cross product of u X v.

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Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

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Q: (a) Write a note on vector product or cross product with its characteristics. (b) Find the cross…

A: Given: A→=3i+1j-2kB→=1i-3j+4k

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: 12. Two vectors are given as follows: A = 3i + 5j- 4k B = 3i + 4j + 2k The vector sum of two vectors…

A: Data  we have A→=3i^+5j^-4k^B→=3i^+4j^+2k^

Q: Let vector a = and vector b = . The the cross product of vector a and b.

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Q: The components of two vectors are A = -2.0, Ay = -5.0, Az Find the angle between them: -4.6, B, 4.2,…

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Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

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Q: Find the angle in degree between the two vectors A=1.1i-1.9j and B=-2.9i+2.4j.

A: We have two vectors that are represented as A→=1.1i^-1.9j^ and B→=-2.9i^+2.4j^. We need to the find…

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: Find the vector product (a X b) of the two given vectors: a = 2i + 3j + 4k, b = 3i + 5j. Here, i, j…

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Q: Vector A can be expressed in (i,j,k) notation as 5.0i - 4.0j, and vector B as -7.0i + 2.0j.…

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Q: Consider the vectors a = i + 2j and b = j + k Find the angle θ (in radians) that is between a and…

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