1) A vector of magnitude 3 cannot be added to a vector of magnitude 4 so that the magnitude so that the magnitude of the resultant is:

a)zero
b)1
c)3
d)5
e)7

2) A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum can be:

a)zero
b)3
c)12
d)47
e)50

Solution Summary

The solution provides clear, reasoned answers to the posted conceptual questions of the restrictions of summing vectors of certain magnitudes, including calculations and worded responses.

... of the third force F3→ such that the vector sum of three forces is 0 N? Conceptual Questions: 1) Are two vectors with the same magnitude necessarily equal? ...

... remember Gauss' law it states that the sum of electric ... system's symmetry we can conclude that the magnitude of the ... to ds and the angle between the vector B and ...

... This is in the negative x direction. The resultant can thus be found by the vector sum of the x and y components thus. Magnitude of resultant force on spacecraft ...

... wire with a radius r, we see that the vector term in ... The magnitude of this force is given by ... q is the angle between the magnetic field and the velocity vectors. ...

... the ten vectors to find the x and y-components of the sum of all the vectors. Later on we can find the magnitude and direction of the resultant vector by using ...

... A. Now join the points A and D. Vector sum of the two vectors is defined as the new vector AD pointing from A to D which has a magnitude equal to the length of ...

... a vector is a vector with the same magnitude, but in ... obtained from the subtraction of vector D from vector G ...Vectors G and -D have both their x components and y ...

... equal to the difference of the two vectors (as they ... opposite directions) in x direction and have magnitude equal to. ... The direction of the vector is given by the ...

... direstion as a, so their corresponding unit vectors are identical. ... the dot product of a unit vector with itself ... just take a, divide it by its magnitude (sqrt(10 ...