Work is the application of the dot product, while torque is the application of the cross product. True False

Q: Use the dot product to determine whether v = i + j and w = -i + j are orthogonal.

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Q: How do you know what the vector b is?

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Q: 2. (b) Q 3 p sin фа, + p'zag +z cos ф a,

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Q: Describe the​ statement, "A vector orthogonal to u and v​," using dot product and cross product…

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Q: Find the dot product of a = and b = .

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Q: M] - [8] x+y -3x+y.

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Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: 4. Show that a 6 a + %3D

A: Here simply open the squre term and then simplify as a.b=b.a

Q: How are vectors added and subtracted geometrically? Algebraically?

A: Vector Addition Geometrically:

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Describe the result when a point or line is changed by a vector

A: We will describe this.

Q: (a + n ) ² − ( ₁ + n ) z

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Q: F = 50 lb 45° 15 3.

A: The given force F = 50 lb The force vector make the angle from x - y plane = 45°

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: How could you describe vector subtraction geometrically?

A: We have write about  vector subtraction geometrically

Q: a/(a + 3) x af а.) b.) (ā - 5)7

A: Recall if you can: Dot product of two vectors is a scalar A scalar times a vector is still a vector…

Q: Use the dot product to find the angle between the position vectors A and B

A: Given:

Q: Explain Properties of Vector Operations?

A: Query- Explain Properties of Vector Operations. Answer- There are two things required to defne a…