Question

Can you answer with steps? Thank you^^

Answer 1

a. `2.8` meters (from left to right).
b. `9.8` meters (from left to right).
c. `9.8` meters (from right to left).

Explanation:

A vector has length a.k.a. magnitude and direction.

The diagram indicates that `A` and `B` have opposite direction.

a.

As a result, summing `A` and `B` results in a vector whose magnitude is the absolute value of the difference of their magnitudes:

`abs(A+B) = abs(6.3-3.5) = 2.8` meters.

The vector `A+B` has direction from left to right.

b.

Subtracting `B` from `A` results in a vector whose magnitude is the sum of the magnitudes of the vectors:

`abs(A-B) = abs(6.3+3.5) = 9.8` meters.

The vector `A-B` has direction from left to right.

c.

Subtracting `A` from `B` also results in a vector whose magnitude is the sum of the magnitudes of `A` and `B`:

`abs(B-A) = abs(3.5+6.3) = 9.8` meters.

The vector `B-A` has direction from right to left.