1.

Question;-If the sum of two unit vector is also an unit vector then what is the magnitude of their difference?​

Answer»

Answer:

Explanation:

LET e1 and e2 be two given unit vectors. Let their SUM give unit vector e3. Therefore ,

e1+e2=e3.

Squaring on both SIDES,

e1^2 + e2^2 +2e1e2 cos (theta)=e3^2. Here, ( theta) is angle between e1 and e2.

Substituting the magnitudes,

1 + 1 +2(1)(1) cos ( theta)=1.

Therefore , cos (theta)=-(1/2).

Therefore ,

(Theta)= 120 degree.

Now, we calculate MAGNITUDE of difference of e1 and e2.

| e1- e2|= sqrt[e1^2-(2)(1)(1)(-1/2) +e2^2]=sqrt[ 1+1+1]= sqrt of (3)


Discussion

No Comment Found

Related InterviewSolutions