A challenge to all math experts... Follow me if you love such challenging questions as I keep on asking such questions to check the mindsets of the mathematicians roaming in
Please don't answer unnecessarily as your bad effort to gain points will be reported by me, first of all try in paper then only answer as your wrong answer reduces the chance for other mathematicians
This question is a bit easy than rest of others that I have asked earlier.

0

Step-by-step explanation:

Let's make substitution as:

then

Solving the first equation for x and the second one for y:

And

Now, sum of x and y:

Therefore:

Answer is zero

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