Question

The magnitude of the resultant of (a+b) and (a-b) is

Answer 1

Answer:

2|a|

Step-by-step explanation:

let R=(a+b) + (a-b)

we know that the sum of vectors is commutative,

R=(a+a) + (b-b)

R=2a

R=2|a|

Answer 2

The magnitude of the resultant of given vectors is 2a.

Given,

Vectors:

(a + b), (a - b)

To find,

The magnitude of the resultant of (a + b) and (a - b).

Solution,

The resultant of two vectors a and b is given by a third vector say c, in such a way that it is the sum of two vectors.

So, the resultant vector, c is given as

c = a + b.

Now, we can see that the given vectors here (say p and q), are

p = a + b

q = a - b

So, their resultant will be given by (p + q) as,

p + q = (a + b) + (a - b)

⇒ p + q = 2a - 0

⇒ p + q = 2a

Therefore, the magnitude of the resultant of given vectors is 2a.

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