Sketch the vectors u = <3, -1>, v = <-3, 4> and u +v B ---- An airplane is headi

Question

Sketch the vectors u = <3, -1>, v = <-3, 4> and u +v

B ---- An airplane is heading North at 550 mph. It suddenly encounters an 80 mph windfrom the East. How fast, and in what direction, is the plane heading? (Give the direction in terms of the angle at which it deviates from straight north)

c-----

Are the vectors <2, -1, 4> and <-3, -2, 1> orthogonal (I.e. perpendicular)? Explain

D-----

Find A x B if A = 2i + 3j + 4k and B = -i + 6j – 5k

i need help finding the answers of those calc III questions

Explanation / Answer

1.Sketch the vectors u = <3, -1>, v = <-3, 4> and u +v

u+v = 0,3

so on the numer line u+v looks like a line passing through y=3 and parallel to x axis.

2. Are the vectors <2, -1, 4> and <-3, -2, 1> orthogonal (I.e. perpendicular)?

calculate the dot product

-6+2+4 =0 so yes, they are orthogonal

3.Find A x B if A = 2i + 3j + 4k and B = -i + 6j – 5k

i

j

k

i

j

k

{

}

4. triangle with length 550  and 80  as the two sides. Label longer side y.

now calculate between two shorter sides which is approx 139

i

( 3 · (-5) - 4 · 6 ) -

j

( 2 · (-5) - 4 · (-1) ) +

k

( 2 · 6 - 3 · (-1) ) =

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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