Use order of operations to solve

We must use PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

Start with the given equation.

Start by solving the brackets ( ).

This means you need to solve the parentheses ( ) first.

Multiply .

Finish solving the brackets by subtracting.

Solve the exponent next.

Multiply .

Finally, add.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

8

step-by-step explanation: