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Representation of Vectors Video Lecture | Physics for JAMB
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FAQs on Representation of Vectors Video Lecture - Physics for JAMB
| 1. What are vectors and how are they represented? |  |
Ans. Vectors are mathematical quantities that have both magnitude and direction. They are commonly represented as an arrow in a coordinate system, where the length of the arrow represents the magnitude and the direction of the arrow indicates the direction of the vector.
| 2. How can vectors be added or subtracted? | |
Ans. Vectors can be added or subtracted by performing vector addition or vector subtraction, respectively. In vector addition, the corresponding components of the vectors are added together to obtain the resultant vector. In vector subtraction, the corresponding components of the vectors are subtracted to obtain the resultant vector.
| 3. What is the dot product of two vectors? | |
Ans. The dot product of two vectors is a scalar quantity that measures the similarity or dissimilarity between the vectors. It is calculated by multiplying the corresponding components of the vectors and summing them up. The dot product can be used to find the angle between two vectors or to determine whether the vectors are orthogonal or parallel.
| 4. How can vectors be multiplied by a scalar? | |
Ans. Vectors can be multiplied by a scalar by multiplying each component of the vector by the scalar. This operation scales the vector, changing its magnitude but not its direction. Multiplying a vector by a negative scalar also reverses the direction of the vector.
| 5. What is the difference between displacement and distance in vector representation? | |
Ans. Displacement is a vector quantity that refers to the change in position of an object. It is represented by a vector that starts from the initial position and ends at the final position. Distance, on the other hand, is a scalar quantity that refers to the total length of the path traveled by an object, regardless of the direction. While displacement considers only the change in position, distance takes into account the entire path followed.
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Dec 22, 2024 Last updated |
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