If and Are Both Inner Products on a Vector Space

question 44

True/False

If
and
are both inner products on a vector space V, then
is also an inner product on V.

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Definitions:

Electromagnetic Spectrum

The range of all types of electromagnetic radiation, from gamma rays to radio waves.

Increasing Wavelength

A phenomenon where the wavelength of light or other electromagnetic radiation becomes longer, moving from higher energy to lower energy on the spectrum.

Directly Proportional

A relationship between two variables where they increase or decrease in conjunction with each other at a constant ratio.

Absorption

The process by which one substance becomes taken up or incorporated into another substance, such as a gas being absorbed by a liquid.