What is the angle between the resultant vector and the horizontal?If the magnitu

Question

What is the angle between the resultant vector and the horizontal?If the magnitude of the resultant is zero, then enter 'none'.
°

Vector A has a magnitude of 23 and is pointing at an angle a=42degree east of north. Vector B has amagnitude of 42 and is pointing at anangle b=40degree south of west. Find themagnitude and direction of A+B(the sum of two vectors is more commonly known as the resultantvector). Magnitude of the resultant vector What direction is the resultant vector pointing in? It has no magnitude so the direction isirrelevant. Due east (along the positivex-axis) Due north (along the positivey-axis) Due west (along the negativex-axis) Due south (along the negativey-axis) A northeasterly direction (firstquadrant) A northwesterly direction (secondquadrant) A southwesterly direction (thirdquadrant) A southeasterly direction (fourthquadrant) What is the angle between the resultant vector and the horizontal?If the magnitude of the resultant is zero, then enter 'none'. degree

Explanation / Answer

Vector A = 23 sin 42 i + 23 cos 42 j

               = 15.39 i+ 17.09 j

Vector B = 42 cos 40 (-i) + 42 sin 40(-j)

              = -32.17i-26.99j

Resultant vector C = A + B

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.