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A vector is a two part quantity. A vector includes both a magnitude (often a distance or a force) and a direction that the magnitude is in. Most of the population deals with scalar quantites, such as 10 miles or 5 pounds. But if you were to say 10 miles northwest, you would be giving a vector.
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What are the applications of vector algebra and vector calclus?
Vector Algebra and Vector Calculus are used widely in science, especially Physics and engineering.The physical world involves four dimensions, one scalar dimension and three vector dimensions. From this you can say that 3/4 of the world involve vectors.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
Vector that shows the combined effect of two or more vector?
Resultant vector or effective vector
The length of a vector indicates the magnitude of the vector.?
Yes, the length of a vector, also known as its magnitude or norm, represents the size or extent of the vector in space. It is calculated using mathematical formulas that involve the components of the vector. A vector with greater length denotes a larger magnitude in comparison to a vector with a smaller length.
Which measurements involve directions?
Vector measurements involve a direction. For example, 28km/h, E. The measurement of 28km/h is present, plus the direction, east. Displacement, velocity, force, and acceleration are examples of vector quantities.
What are the applications of vector algebra and vector calclus?
Vector Algebra and Vector Calculus are used widely in science, especially Physics and engineering.The physical world involves four dimensions, one scalar dimension and three vector dimensions. From this you can say that 3/4 of the world involve vectors.
Does resolving a vector involve breaking the vector into two components?
Yes, resolving a vector involves breaking it down into two or more component vectors that act in different directions. This is typically done in order to better understand and work with the vector's magnitude and direction.
Why vector quantities cannot be added and subtracted like scaler quantities?
Vector quantities have both magnitude and direction, so when adding or subtracting them, both the magnitudes and directions must be considered. Scalars, on the other hand, only have magnitudes and can be added or subtracted without concern for direction. This is why vector addition and subtraction involve vector algebra to handle both the magnitudes and directions appropriately.
Which measurements involve a direction?
Vector measurements involve a direction. For example, 28km/h, E. The measurement of 28km/h is present, plus the direction, east. Displacement, velocity, force, and acceleration are examples of vector quantities.
How are scalar and vector quantaties alike?
Scalar and vector quantities are both used to describe physical quantities in physics. The key similarity between them is that they both involve numerical values. However, vector quantities also have a direction associated with them, while scalar quantities do not.
Can a vector be represented in terms of unit vector?
Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.
Does acceleration involve a direction?
Yes, acceleration is a vector quantity that involves both magnitude and direction. It indicates the rate of change of velocity with respect to time and can be positive or negative, depending on whether it is in the same direction as the velocity (positive) or opposite direction (negative).
Why is angular displacement a vector quantity?
Angular displacement is a vector quantity because it has both magnitude and direction. The direction of angular displacement is determined by the axis of rotation and follows the right-hand rule, while the magnitude is given by the angle of rotation. As a vector, angular displacement can be added, subtracted, and resolved into components, making it useful in calculations that involve rotational motion.
What is null vector?
NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...
What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?
90 degrees
