Question

in the diagram below the vectors U and V are at right angle to each other the length of vector b is D the horizontal and vertical components of vector you is a and b respectively find the vertical component of vector V in terms of a b and d​

Answer 1

Answer:

ad/√(a² + b²)

Explanation:

In the diagram below, the vectors ū andv are at right angles to each other. The length of v is d. The horizontal and vertical components of ū are a and

b respectively. Find the vertical component of v in terms of a, b and d.

Let say Angle formed by u with base is θ

Then angle formed with vertical by u is 90  - θ

then angle formed by d with base is 180 - 90 - θ = 90  - θ

Angle formed with vertical by v = 90 - (90 - θ) = θ

Hence we can say that these are similar triangles

Let say horizontal of v is x  & vertical is y

x/b  = y/a  = d/√(a² + b²)

=> x = bd/√(a² + b²)

& y =  ad/√(a² + b²)

Vertical component of v  is ad/√(a² + b²)