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If A plus B equals 0 than what can you say about the components of the two vectors?
Wiki User
∙ 14y ago
The components of these vectors will be equal in magnitude but opposite in direction. This can be proved as follows.
If A+B=0 then A=-B
Or Axi+Ayj+Azk=-(Bxi+Byj+Bzk)
Comparing the co-efficients of i, j, k
Ax=-Bx Ay=-By Az=-Bz
This shows that components of A and B are equal in magnitude to each other but are opposite in direction.
Wiki User
∙ 14y ago
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Are addition and subtraction of vectors performed in a manner similar of these of real number?
Look at how it is done, then decide for yourself whether you consider this similar or not. Vectors are added by components - add the x-components and the y-components separately. The addition of the individual components is exactly the addition of real numbers (assuming the usual vectors used in physics - but more complicated types of "vectors" are also used in math). On the other hand, the magnitude of the sum of two vectors is usually less than the sum of the magnitudes of the vectors - unless they happen to point in exactly the same direction. For example, a vector 4 units in length plus a vector 3 units in length, at right angles, result in a vector 5 units of length, as is easy to deduce from Pythagoras's Law. However, once again, the components are added just like real numbers.
CAN 0 plus equals B plus equals B?
Yes because if 1+0=1 than 0 plus b equals b
Does two plus two equals more then five?
two plus two equals four so no two plus two isn't more than five. four plus two equals 6 so that is more than 5.
Can a vector magnitude be less than any of its scalar components?
Yes. When all vectors point in the same direction the inequality rule is applied and r can be less than r1 + r2.
Explain in your own words how we add numbers with different signs?
Positive plus positive equals positive. Negative plus negative equals negative. Positive greater than negative equals positive. Negative greater than positive equals negative.
Are addition and subtraction of vectors performed in a manner similar of these of real number?
Look at how it is done, then decide for yourself whether you consider this similar or not. Vectors are added by components - add the x-components and the y-components separately. The addition of the individual components is exactly the addition of real numbers (assuming the usual vectors used in physics - but more complicated types of "vectors" are also used in math). On the other hand, the magnitude of the sum of two vectors is usually less than the sum of the magnitudes of the vectors - unless they happen to point in exactly the same direction. For example, a vector 4 units in length plus a vector 3 units in length, at right angles, result in a vector 5 units of length, as is easy to deduce from Pythagoras's Law. However, once again, the components are added just like real numbers.
How can you add vectors?
To add vectors, add their corresponding components together. If the vectors are in 2D, add the x-components together and the y-components together. If they are in 3D, add the x, y, and z-components accordingly. This will result in a new vector representing the sum of the original vectors.
CAN 0 plus equals B plus equals B?
Yes because if 1+0=1 than 0 plus b equals b
Does two plus two equals more then five?
two plus two equals four so no two plus two isn't more than five. four plus two equals 6 so that is more than 5.
Can a vector magnitude be less than any of its scalar components?
Yes. When all vectors point in the same direction the inequality rule is applied and r can be less than r1 + r2.
A plus b plus c equals d. A is the largest answer b is the smallest answer and d is less than 6?
A plus b plus c equals d. A is the largest answer b is the smallest answer and d is less than 6?''
Explain in your own words how we add numbers with different signs?
Positive plus positive equals positive. Negative plus negative equals negative. Positive greater than negative equals positive. Negative greater than positive equals negative.
Can a vector have a component greater than its magnitude in higher level physics?
yeah, it can. for example consider two antiparallel vectors of magnitude 5,3 whose resultant is 2, which is smaller than both components.....
Can the sum of of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
Yes, the Triangle Inequality states that the sum of the magnitudes of two vectors can never be equal to the magnitude of the sum of those two vectors. Mathematically, if vectors a and b are non-zero vectors, then |a| + |b| ≠ |a + b|.
4xplus5 equals 3y plus 2 than y equals?
4x+3/3=y
What cant ax2 plus bx plus c equals 0 have?
A discriminant that is less than zero.
What is the missing digit in the followingsum275 plus 436 plus 104 plus 72 equals?
There is more than one digit missing.
