Question

vector A+ vector B = vector A- vector B, then find the magnitude of vector B
answer is 0, give solution

give ans... and take brainlist

Answer 1

Required Solution:-

⇒ Vector A+ Vector B=Vector A- Vector B

By transporting LHS and RHS:

⇒ Vector A- Vector A= -Vector B- Vector B

Now vectors with same magnitude can be simplified

⇒ 0=-2 Vector B

⇒ 0/-2=Vector B

⇒ 0=Vector B

Hence the value of magnitude of Vector B is 0.

Points to remember:

• Vector can be written as $\sf |v|$, bold face symbol v , $\vec{v}$ and $\sf\overline{V}$ also.

• Two vectors with same direction can be added and subtracted without any vector law, but you have to apply vector law of addition for vectors with different directions.

• Two vectors can only said to be equal when they have same magnitude and same directions.