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If A plus B equals 0 than what can you say about the components of the two vectors?
Wiki User
∙ 13y 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
∙ 13y 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.
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.....
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.
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?''
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.....
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.
What is the difference between vector and algebraic sums?
A vector has both a magnitude and a direction. To add vectors, you graphically put them head-to-tail; or, to do it with math, separate the vector into x and y components, and add the two components separately. Or more than two components, depending on the number of dimensions used.
4xplus5 equals 3y plus 2 than y equals?
4x+3/3=y
Can the sum of of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
No, they could be equal If the two vectors are opposites (180 degrees apart) like r and -r, then the sum of their magnitudes is the magnitude of their sum. ?? North 1 plus East 1 gives NorthEast 1.414. North 1 plus South 1 gives 0. North 1 plus North 1 gives North 2, which is equal to, not less than 1+1.
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.
