Three vectors A, B and C add up to zero. Find which is false.
(a) (A×B) × C is not zero unless B, C are parallel
(b) (A×B).C is not zero unless B, C are parallel
(c) If A,B,C define a plane, (A×B)×C is in that plane
(d) (A×B).C=|A||B||C|→ C2=A2+B2
Three vectors A, B and C add up to zero. Find which is false.
(a) (A×B) × C is not zero unless B, C are parallel
(b) (A×B).C is not zero unless B, C are parallel
(c) If A,B,C define a plane, (A×B)×C is in that plane
(d) (A×B).C=|A||B||C|→ C2=A2+B2
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Please find the solution below:
after 10 kicks,
v? = 3tî v? = 24cos 60°î + 24sin 60°? = 12î + 12√3?
v? = v? – v? = (12 – 3t)î + 12√3?
It is minimum when 12 - 3t = 0 ⇒ t = 4sec
ω = θ² + 2θ
α = (ωdω)/dθ = (θ² + 2θ) (2θ + 2)
At θ = 1rad.
ω = 3rad/s and α = 12rad/s²
a? = αR = 12 m/s² a? = ω²R = 9 m/s² A? = √ (a? ² + a? ²) = 15 m/s²
a? = v? ²/4r
a_A? = (v? ²/r²) × r = v? ²/r
a_A = 3v? ²/4r
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