Question

Given v - it and w-i+j (a) find the dot product v.w (b) find the angle between V and w (c) state whether the vectors are parallel, orthogonal, or neither (a) VW (b) What is the angle between vand w? (Do not round until the final answer. Then round to the nearest tonth as needed.) (c) Are vectors v and w parallel, orthogonal, or neither? O orthogonal neither O parallel S va .. More

Answer 1

Dot Product a, ta of as <) » If 2 a bo biêt b2 h + ba then a.ba a, by tag bataz b3 2) If o is the is the angle between 2 and then å lällblcoso. The given vector is ît W =-êt Q v.W (-1) *(-1) 4 (1)*(1) It 212 21 b det o be the angle between V and W then v.wa lvl1wl.coso or 2 2 (-1) 27 12 √(-1) 712 coso Viti Xviti coso 08, 2 2 or 2 = V2 x 22 coso or, 2 or 00) coso = 1 2 coso cosoo o oc

" Angle between v and w is to Two e We know that rectors are parallel if they are s Calas multiple of one another. i e 7 a scalar such that v=ew. Now va -êt a 1. (-ê +9) 21. W. Therefore vector V and w are Paralles, rector.