Question

if sum of two vectors is a unit vector, then the magnitude of thier difference us​

Answer 1

Answer:

1

Explanation:

If the sum of two unit vectors is a unit vector,then find the magnitude of their differences. →ns=→n1+ˆn2. Since it is given that →ns is a unit vector, so ns=1.

Answer 2

Answer:

$\sqrt{3}$

Explanation:

here sum of two unit vectors = unit vector

let the two unit vectors be n₁ and n₂ .

⇒ In₁ +n₂I =In₃I

⇒1²+1²+2(1)(1)cos theta 1

⇒2+2 cos theta =1

⇒ cos theta = -1/2 .

⇒ theta = 120° .

In₁-n₂I = ?

√n₁ ² + n₂² -2 n₁n₂cos theta =?

⇒√1²+1²-2(1)(1)(-1/2)=

⇒√1+1+1=

=√3

Hope this helps

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