The resultant of two vectors has magnitude 10. One vector has magnitude 6, and the resultant is perpendicular to this vector. Find the magnitude of the other vector.
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The resultant of two vectors has magnitude 10. One vector has magnitude 6, and the resultant is perpendicular to this vector. Find the magnitude of the other vector.

G1 Physics · Accepted Answer

Let R⃗=A⃗+B⃗ with R⃗⊥A⃗, R=10 and A=6. Since B⃗=R⃗−A⃗ and R⃗⊥A⃗, B²=R²+A²=100+36=136. Thus B=2√34.