Question

if a vector b is added to vector a the result is 6i+j .if b is subtracted from a the rsult is -4i+7j. what is magnitude of vector a???

Answer 1

here comes a solution.

Answer 2

Answer:

√17

Explanation:

Given that:

The addition of a and b vector = 6 i+j

The subtraction of a and b vector = -4 i+7 j

Thus,

a + b = 6 i+j

a - b = -4 i+7 j

Adding both the equation as:

2a = 6 i+j + (-4 i+7 j ) = 2 i + 8 j

Thus, vector a is  i + 4 j .

The magnitude of the vector is $\sqrt {1^2+4^2}=\sqrt {17}$

The magnitude of the vector a = √17