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How to find a vector of magnitude 10 in the direction 2i plus 11j-10k?
Wiki User
∙ 14y ago
Try (4/3)i + (22/3)j - (20/3)k
Magnitude = sqrt [ (4/3)2 + (22/3)2 + (20/3)2 ] = sqrt [ (16/9) + (484/9) + (400/9) ] = sqrt(900/9) = sqrt(100) = 10
Wiki User
∙ 14y ago
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How do you find the magnitude and the direction of a vector?
Use trigonometry.
How do you find a vector if you have itsmagnitude and its direction given?
That's it! You know everything there is to know about it. It's not as if you have to wander through a crowd of vectors and find one that matches the description. "Find the vector" means figure out its magnitude and direction. If the problem already gave you the magnitude and direction, then it's unlikely that it's asking you to 'find' that same vector.
How to find the direction of vector when the magnitude is given?
You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.
How do you find the y-component of a vector if you are given the magnitude?
The magnitude alone can't tell you anything about its components. You also need to know its direction.
How do you find the vector of magnitude 2 in the direction of vector i plus 2j?
The magnitude of (i + 2j) is sqrt(5). The magnitude of your new vector is 2. If both vectors are in the same direction, then each component of one vector is in the same ratio to the corresponding component of the other one. The components of the known vector are 1 and 2, and its magnitude is sqrt(5). The magnitude of the new one is 2/sqrt(5) times the magnitude of the old one. So its x-component is 2/sqrt(5) times i, and its y-component is 2/sqrt(5) times 2j. The new vector is [ (2/sqrt(5))i + (4/sqrt(5))j ]. Since the components of both vectors are proportional, they're in the same direction.
How do you find the magnitude and the direction of a vector?
Use trigonometry.
How can you find a unit vector in the same direction as the given vector?
Divide the vector by it's length (magnitude).
How do you find a vector if you have itsmagnitude and its direction given?
That's it! You know everything there is to know about it. It's not as if you have to wander through a crowd of vectors and find one that matches the description. "Find the vector" means figure out its magnitude and direction. If the problem already gave you the magnitude and direction, then it's unlikely that it's asking you to 'find' that same vector.
How to find the direction of vector when the magnitude is given?
You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.You can't derive the direction only from the magnitude. A vector with the same magnitude can have different directions. You need some additional information to make conclusions about the direction.
How do you find the magnitude and the direction of a vector when F3i-4j?
7
How do you find the y-component of a vector if you are given the magnitude?
The magnitude alone can't tell you anything about its components. You also need to know its direction.
How does the order that the vectors are combined affect the displacement?
The order in which vectors are combined affects the overall displacement because vector addition is not commutative. The resultant vector will be different depending on the direction and magnitude of each individual vector. To find the total displacement, you must consider both the direction and magnitude of each vector in relation to the others.
How do you find the vector of magnitude 2 in the direction of vector i plus 2j?
The magnitude of (i + 2j) is sqrt(5). The magnitude of your new vector is 2. If both vectors are in the same direction, then each component of one vector is in the same ratio to the corresponding component of the other one. The components of the known vector are 1 and 2, and its magnitude is sqrt(5). The magnitude of the new one is 2/sqrt(5) times the magnitude of the old one. So its x-component is 2/sqrt(5) times i, and its y-component is 2/sqrt(5) times 2j. The new vector is [ (2/sqrt(5))i + (4/sqrt(5))j ]. Since the components of both vectors are proportional, they're in the same direction.
When vector is divided by its own magnitude you find its?
We get the Unit Vector
How vectors quantities be represented graphically?
They can be represented by a line made with a #2 pencil. The length of the line is made proportional to the magnitude of the vector, and some kind of identifying mark is made on or near one end of the line to show the direction of the vector.
What does it mean to find the magnitude of a vector?
The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.
How do you find the x and y components of a vector?
Suppose the magnitude of the vector is V and its direction makes an angle A with the x-axis, then the x component is V*Cos(A) and the y component is V*Sin(A)
