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The angles between three non-zero and non coplanar vectors a,b and c are α between b and cand β between c and aand γ between a and b.The vector u and v are defined by u=(aXb)Xc;v=aX(bXc).If u is perpendicular to v, then show that eithera is perpendicular to cor cosβ=cosα.cosγ . solution) Given that u=(axb)xc, v=ax(bxc), both the vectors are equal in magnitude because of the associated law, and u.v=0, therefore it must be true that a.c=0, because excluding a and c , b is not situated at right angles so angle between a and c is 90.
A round balloon of radius 'a' subtends an angle θ at the eye of the observer while the angle of elevation of its centre is Φ.Prove that the height of the center of the balloon is a
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul
Properties of Vector Arithmetic If v, w and u are vectors (each with the same number of components) and a and b are two numbers then we have then following properties. v →
Utilizes the second derivative test to classify the critical points of the function, h ( x ) = 3x 5 - 5x 3 + 3 Solution T
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what is Baker College Online upward line stretch?
If y 1 (t) and y 2 (t) are two solutions to y′′ + p (t ) y′ + q (t ) y = 0 So the Wronskian of the two solutions is, W(y 1 ,y 2 )(t) = =
If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.
I need help with my calculus
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