L Find the projection of i= i-2j- 2k onto = 6i +3j + 2k. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Qs:
1. Find the projection of v = i-2j- 2k onto u = 6+3j + 2k.
2. Are the plane 2x-y-4z 10 and the line (x = 2+4t,y =5-2t,z = -8t} parallel or
orthogonal?
3. The differential equation
dx
dy
x-2y+3
is reduced to [homogenous or separable].
%3D
2x+3y-4
4. Find the y(t) if Y(s) = In (s2 - 4)
5. Find F(s) if f(t) t. sint.cost
%3D
6. If F = Pi+ Qj + Rk, prove that div (curl F) = 0
%3D
Transcribed Image Text:Qs: 1. Find the projection of v = i-2j- 2k onto u = 6+3j + 2k. 2. Are the plane 2x-y-4z 10 and the line (x = 2+4t,y =5-2t,z = -8t} parallel or orthogonal? 3. The differential equation dx dy x-2y+3 is reduced to [homogenous or separable]. %3D 2x+3y-4 4. Find the y(t) if Y(s) = In (s2 - 4) 5. Find F(s) if f(t) t. sint.cost %3D 6. If F = Pi+ Qj + Rk, prove that div (curl F) = 0 %3D
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