Table of Contents
- 1 What is the maximum number of components into a vector can be split?
- 2 What is the maximum value of a vector b vector?
- 3 What are the maximum number of rectangular components of a vector can be split in space and in plane?
- 4 How many components can a vector be split into?
- 5 Is there a limit to the number of zig zag vectors?
What is the maximum number of components into a vector can be split?
(EXPLANATION :-A vector can be split into infinite number of components. But if we say rectangular components then answer is three.)
What is the maximum number of rectangular components into which a vector can be split?
3
We can only split vector in x, y and z directions in rectangular coordinate system. Hence maximum number of rectangular components are 3.
What is the maximum value of a vector b vector?
|b|cos t which has minimum and maximum values according as cos t has minimum or maximum values i.e. 1 or (-1). Hence a+b has maximum modulus |a|+|b|, when the vectors point in the same direction and minimum modulus | |a|-|b| | when they point in opposite directions.
How do you split a vector into components?
Example Problem 1-Splitting Vectors into its components.
- Step 1: Identify the magnitude of the vector. The magnitude of the vector is the length of 5 units.
- Step 2: Identify the angle of the vector from the horizontal.
- Step 3: Split the vector into the X-component.
- Step 4: Split the vector into the Y-component.
What are the maximum number of rectangular components of a vector can be split in space and in plane?
It can be split into three rectangular components in space.
What is the maximum number of components into which a force can be resolved a two C four B three’d any number?
Answer is (d) any number of components However, it can be split into ONLY three RECTANGULAR components in space and only two RECTANGULAR components in its own plane.
How many components can a vector be split into?
There are infinite number of components into which a vector can be split. No of real triplets ( a, b, c) satisfying a2 +b2 +c2 = d2 where d is the magnitude of the vector is infinite.
What is the maximum number of rectangular components a vector can have?
>> What is the maximum number A vector can be split into infinite number of components but if you say rectangular components then its 3 because we are using rectangular coordinate system in our study. Hence, Option B is the correct answer.
Is there a limit to the number of zig zag vectors?
There is no limit. But the components are redundant. Think of a certain displacement, which is a vector. There can be any number of zig-zag vectors connected with each end to end for this displacement. A non-redundant components depend on the dimension of vector-space.
How many components are there in an angled vector?
For two-dimensional vectors angled with respect to any axis, there are 2 components in the x-axis and y-axis. For 3-dimensions, it goes up to 3 components, and so on for higher dimensions. So is the answer equal to the number of dimensions?