Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Direction Cosines
This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
Let us begin with a vector, a→ in three dimensional (3D) space. This vector will make angles along with the x-axis (α), the y-axis (β), and the z-axis (γ). These angles are known as direction angles and the cosines of these angles are known as direction cosines.
Here is a diagram of a vector and the direction angles.
The formulas for the direction cosines are as follow:
cos α = a→• i→ / ||a→|| = a1 / ||a→||
cos β = a • j / ||a→|| = a2 / ||a→||
cos γ = a • k / ||a→|| = a3 / ||a→||
where i, j, and k are the standard basis vectors.
If the p th term of an AP is q and the q th term is p. P.T its n th term is (p+q-n). Ans: APQ a p = q a q = p a n = ? a + (p-1) d = q a + (q-1) d = p
Fundamental Theorem of Calculus, Part II Assume f(x) is a continuous function on [a,b] and also assume that F(x) is any anti- derivative for f(x). Hence, a ∫ b f(x) dx =
number of ways that a mixed doubles tennis game can be arranged from 7 couples if no husband and wife play in the same game is??
Connecticut state sales tax is 6%. Lucy purchases a picture frame in which costs $10.50 What is the Connecticut sales tax on this item? Find out 6% of $10.50 by multiplying $10
The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer. Let x = the lesser integer and let x + 1 = the greater integer. T
a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.
Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞ and - ∞ . The various types
Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on
Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5. Find their sum. Ans: No let 101 and 304, which are divisible by 3. 102, 105..........
I need to come up with a PR plan for a fictitious women''s softball team. How much would something like that cost?
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd