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Direction cosines from ratios
l = a/√(a²+b²+c²), …
Where: a = a, b = b, c = y-intercept, l = Direction cosines from ratios
Solved example
Given: a = 7, b = 5, c = 10
Find: l (Direction cosines from ratios)
- Formula: l = a/√(a² + b² + c²)
- Substitute the values: l = 7/√(10² + 5² + 7²)
- Result: l = 0.530669
Answer: l = 0.530669
Calculator
How to calculate Direction cosines from ratios
- Write down the formula: l = a/√(a²+b²+c²), ….
- Note the known values (a, b, c).
- Substitute them and simplify to find l.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Direction cosines from ratios?
The formula is l = a/√(a²+b²+c²), …, where a = a, b = b, c = y-intercept, l = Direction cosines from ratios.
What is Direction cosines from ratios when a = 7, b = 5, c = 10?
l = 0.530669. Substitute the values into l = a/√(a²+b²+c²), … and simplify.