(a) What happens to the magnitude and direction of a vector when you negate the vector?

Q: Show that 2i − j + 4k and 5i + 2j − 2k are orthogonal (perpendicular). Find a third vector…

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Q: в (15.0 m) D (10.0 m) 30.0 53.0 25.0 Č(12.0 m) Ä (8.00 m)

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Q: If two vectors have the same magnitude, do their components have to be the same?

A: Two vectors of same magnitude

Q: When will the x-component of a vector with angle θ be greater than its y-component?

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Q: The magnitude of a vector: Can be positive or negative. Must always be negative. Must always be…

A: The magnitude of a vector is defined by the numeric value of that vector.

Q: Can a vector with zero magnitude have one or more componentsthat are nonzero? Explain.

A: Let’s take a vector in 3-D (one can take n-dimension vector also).

Q: 19. Given two vectors have the same magnitude, with the vector with an angle of 43 degrees or 72…

A: Let's resolve a vector V into two components.

Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: How would you arrange three vectors of equal magnitude if they are to have a resultant equal to…

A: Resultant of three vectors will be zero if below condition will be true-Three vectors are coplanar…

Q: Give an example of a nonzero vector that has a component of zero.

A: Consider two dimensional motion of a particle.

Q: on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i +…

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Q: O vector difference algebraic sum O arithmetic sum O vector sum O O

A: The problem is based upon the concept of the resultant of two vectors. We there are multiple vectors…

Q: Can the component of a vector be greater than vector itself?

A: Consider a vector R as shown below.

Q: What are pseudo vectors? Why are they called axial vectors?

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Q: Can three vectors of different magnitudes be combined to form a zero resultant? Can two vectors be…

A: Yes, three vectors  of different magnitudes  can given zero resultant.

Q: Can a magnitude of a vector have a negative value? Explain

A: magnitude represents the size (length) of the vector.  which does not have direction

Q: A vector has a magnitude of 2.8 m and points in a direction that is 135° counterclockwise from the z…

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Q: The lowest possible value of the resultant of two vectors results when the vectors are parallel. It…

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Q: Our vectors P and Q have the same amount.  How can we rearrange them so that the sum of them is…

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Q: X 55⁰ F₁ = 100 lb 65⁰ 120° 35⁰ -y F3 = 400 lb 55⁰ F₁ = 600 lb

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Q: Give an example of a nonzero vector that hasa component of zero.

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Q: Consider the loop of wire in Figure 29.25a. Imagine it is pivoted along side O, which is parallel to…

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Q: Why is the j-unit vector component negative?

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Q: property of the vectors

A: Given: A set of properties of vectors. Find: Which property is incorrect.

Q: Explain why a vector cannot have a component greater than its own magnitude.

A: From the concepts of vector's and scalars, the vector can be subdivided into two components that are…