maximum and minimum magnitude of resultant of two vectors r 17 and 7 respectively what is the magnitude of resultant vector when both r perpendicular to each other??
max: 17+7
min: 17-7
perpendcular: sqrt(17^2+7^2)
19.69
the magnitude of resultant vector when both r perpendicular to each other is 13
To find the magnitude of the resultant vector when two perpendicular vectors are involved, we can use the Pythagorean theorem.
Given:
Magnitude of vector r1 = 17
Magnitude of vector r2 = 7
Since the vectors are perpendicular to each other, the angle between them is 90 degrees.
Using the Pythagorean theorem, the magnitude of the resultant vector (r) can be found using the formula:
r = √(r1^2 + r2^2)
Substituting the given values:
r = √(17^2 + 7^2)
r = √(289 + 49)
r = √338
r ≈ 18.384
Therefore, the magnitude of the resultant vector when the two vectors are perpendicular to each other is approximately 18.384.