Chapter 10: Q. 20 (page 801)
What is the set of all position vectors in of magnitude 5 ?
Short Answer
- All position vectors in with magnitude 5 are those whose terminal points are on a circle with radius 5 and Centre at the origin.
Chapter 10: Q. 20 (page 801)
What is the set of all position vectors in of magnitude 5 ?
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Suppose that we know the reciprocal rule for limits: If exists and is nonzero, then This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
What is meant by the triangle determined by vectors u and v in ? How do you find the area of this triangle?
In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
Consider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
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