Can a component of a vector be equal to its magnitude?
The magnitude of the component may be equal to the magnitude of the vector if and only if the projection is taken along itself, otherwise it will always be less.
Under what circumstances does the rectangular component of a vector have the same magnitude?
Answers. The magnitude of the two components will be equal if the vector makes an angle of 45° with the x-axis.
Under what conditions does the resultant vector have a magnitude equal to a B?
The resultant have a magnitude A+B when the angle between the vectors is 0°.
Can the magnitude of a vector ever a be equal to one of its components or B be less than one of its components?
The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The eastward component of vector A is equal to the westward component of vector B and their northward components are equal.
Why a vector Cannot have a component greater than it’s own magnitude?
Solution for problem 11CQ Chapter 3 Explain why a vector cannot have a component greater than its own magnitude. No. A vector cannot have a component greater than the vector's magnitude. Magnitude of the vector is sum of the components of the vectors.
For what angle of a vector is it possible that its magnitude will be equal to its Y component?
We will get the magnitude of the vector equal to its by component. So a correct option will be d Theta equal to 90°.
Under what circumstances would a non zero vector lying in the XY plane have components that are equal in magnitude?
8 Under what circumstances would a nonzero vector lying in the xy plane ever have components that are equal in magnitude? If the vector lies along the 45o line in the first or third quadrants the two components will be exactly equal.
What does it mean for two vectors to be equal?
For two vectors to be equal, they must have both the magnitude and the directions equal.
Under what conditions will magnitude of the resultant vector be equal to zero?
they can cancel to zero only if the magnitudes of A and B are equal and they point in opposite directions. In case of three vectors, If three vectors acting on a point object at the same time are represented in magnitude and direction by the three sides of a triangle taken in the same order,their resultant is zero.
Under what conditions does the resultant vector A B have greatest magnitude?
Answer. If both →A and →B is in the same direction then the resultant vector has a magnitude equal to A+B. If both vectors has opposite direction and equal magnitude i.e. θ=180∘ and A=B.
Can a vector have a magnitude equal to zero if one of its components is non zero?
3 Answers. No, a vector cannot have zero magnitude if one of its components is not zero.
Can a unit vector have any components with magnitude greater than unity?
Hence unit vector can not have magnitudes greater than 1.
Why a vector Cannot have a component greater than its own magnitude?
Solution for problem 11CQ Chapter 3 Explain why a vector cannot have a component greater than its own magnitude. No. A vector cannot have a component greater than the vector's magnitude. Magnitude of the vector is sum of the components of the vectors.
Can the magnitude of a resultant vector be less than the magnitude of any of its components?
Answer and Explanation: The magnitude of any resultant vector of two components vectors can not be smaller than any of its component vectors because the positive combination…
How many different directions can a two dimensional vector have if its components are of equal magnitude?
It is zero. How many different directions can a two-dimensional vector have if its components are of equal magnitude?
Are vectors the same magnitude equal?
Two vectors are said to be equal if they have same magnitude and direction.
When can we say that vectors are equal?
A vector is said to be an equal vector to another vector if they both have the same magnitude and the same direction. In simple words, we can say that two or more vectors are said to be equal vectors if their length is the same and they all point in the same direction.
Under what condition resultant of a vector is?
Answer. If both →A and →B is in the same direction then the resultant vector has a magnitude equal to A+B. If both vectors has opposite direction and equal magnitude i.e. θ=180∘ and A=B.
Under what condition will the magnitude of resultant of two vectors?
Hint: It is given that two vectors are equal in magnitude i.e. if A and B are two vectors then ∣A∣=∣B∣. It is also mentioned that the magnitude of resultant is equal to the magnitude of either of them i.e. ∣A∣=∣B∣=∣A+B∣.
Under what conditions the resultant of two vectors can be maximum or minimum?
Solution : It is maximum when the two vectors are acting in same direction and minimum when the vectors are acting in oppsite direction .
Can the magnitude of a vector be less than the magnitude of any of its components explain?
Answer and Explanation: The magnitude of any resultant vector of two components vectors can not be smaller than any of its component vectors because the positive combination…
Why a vector Cannot have a component greater than its magnitude?
Solution for problem 11CQ Chapter 3 Explain why a vector cannot have a component greater than its own magnitude. No. A vector cannot have a component greater than the vector's magnitude. Magnitude of the vector is sum of the components of the vectors.
Can a unit vector have any components with magnitude greater than unity Mcq?
No, a rectangular component canot be greater than a vector itself.
Can the magnitude of a resultant vector be less than the magnitude of any of its components Brainly?
<br> Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.
What are the conditions for two vectors to be equal?
For two vectors to be equal, they must have both the magnitude and the directions equal.
Are two vectors with the same magnitude necessarily equal?
For two vectors to be equal, they must be equal in magnitude and have the same direction. Thus, two vectors with the same magnitude are not necessarily equal. They must also point in the same direction.
Which of the following conditions is true for equal vectors?
5. Which of the following condition is true for equal vectors? Clarification: Two vectors are said to be equal, if they have the same magnitude and direction. They will be coinitial if they have the same initial point and they will be collinear if both the vectors are parallel to the same line.
Under what conditions will the magnitude of the resultant two vectors of equal magnitude be equal to either of them?
Hint: It is given that two vectors are equal in magnitude i.e. if A and B are two vectors then ∣A∣=∣B∣. It is also mentioned that the magnitude of resultant is equal to the magnitude of either of them i.e. ∣A∣=∣B∣=∣A+B∣.
What conditions are required for equal vectors?
Two or more vectors are said to be equal when their magnitude is equal and also their direction is the same. The two vectors shown above, are equal vectors as they have both direction and magnitude equal.
Can two vectors of same magnitude have resultant equal to either of them explain?
Both the vectors have the same magnitude. Let the resultant have magnitude equal to vector A. Hence, the angle between the two vectors is 120°. So, the correct answer is “Option D”.