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What must be the relationship between two vectors a and b if the magnitude of vector a plus b is equal to magnitude of a-b?
Wiki User
∙ 11y ago
a and b must face in opposite directions.
Wiki User
∙ 11y ago
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If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
7
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
Why can vectors be used to represent forces?
A vector is a quantity with magnitude and direction. Since force has magnitude and direction, it is a vector
What can you say about two vectors if vector A vector B 0?
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
When magnitude of vector a plus b is equal to the magnitude of vector a minus b then what is the angle between two vectors a and b?
2pi/3 radian or equivalent 120 degree
Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?
Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.
What two vectors does a vector have?
A vector has both magnitude (the size or length of the vector) and direction. These two characteristics define a vector and differentiate it from a scalar, which only has magnitude.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
No, the resultant of two equal vectors will have a magnitude that is not equal to the magnitude of the original vectors. When two vectors are added together, the resulting vector will have a magnitude that depends on the angle between the two vectors.
When displacement have the opposite derection what do you do to determine the magnitude?
To determine the magnitude when displacement vectors have opposite directions, you need to find the difference between the magnitudes of the two vectors. This is done by subtracting the magnitude of the primary vector from the magnitude of the secondary vector. The result will give you the magnitude of the resultant displacement.
What is it when two vectors' dot product is one?
That fact alone doesn't tell you much about the original two vectors. It only says that (magnitude of vector-#1) times (magnitude of vector-#2) times (cosine of the angle between them) = 1. You still don't know the magnitude of either vector, or the angle between them.
If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?
7
When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?
The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.
What is the resultant of two vectors in the opposite direction?
When two vectors are in opposite directions, their resultant is the difference between their magnitudes, with the direction of the larger vector. This means the resultant vector points in the direction of the larger vector and its magnitude is the difference between the magnitudes of the two vectors.
What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?
69 degrees
What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?
It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.
What is the difference between a scalar quantity and a vector?
Scalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. vectors need bold letters to show them.
