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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.
I need help for Solving Equations by Completing the Square Method, can anybody help me out for this?
Please,I Want to know and study for stability on predictor -corrector for numerical integration method
Kyra receives a 5% commission on every car she sells. She received a $1,325 commission on the last car she sold. What was the cost of the car? Use the proportion part/whole =
Q . Mrs. Cooper asked her math class to keep track of their own grade. Michael, one of the students, lost his assignments, but he remembered the grades of 6 out of 8 assignments:
example with solution of quadratic polynomial
compare: 643,251: 633,512: 633,893. The answer is 633,512.
two colum proofs
compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?
DEVELOPING PRE-NUMBER CONCEPTS : Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities
Proof of Limit Comparison Test As 0 Now, as we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer
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