According to de broglie, as the momentum of a moving particle is tripled, the corresponding wavelength changes by what factor?

According to Louis de Broglie, as the momentum of a moving particle is tripled, the corresponding wavelength changes by 1/3. De Broglie’s wavelengths of particles that are moving are varying in accordance with their linear momentum. De Broglie’s wavelength is inversely proportional to the linear momentum (λ = h/p).

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west