Q: Can a unit vector have any components with magnitude greater than unity?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The answer below assumes you are required to find the components of the vector. A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components. Both of these values equal to 1/sqrt(2) {one over square-root two}

If it were 1 then there would be no point in having it there!

Three times. Once in Psalm 133.1, referring to the unity of believing brethren. Once in Ephesians 4.3, referring to the unity of the Holy Spirit. Once in Ephesians 4.13 referring to the unity of our faith.

The word "unity" appears in the NIV Bible 8 times.

TO AGREE, ACQUIESCEe

Related questions

The answer below assumes you are required to find the components of the vector. A vector with unity magnitude means that the magnitude of the vector equals to 1. Therefore its a simple case of calculating the values of sin(45) for the vertical components and cos(45) for the horizontal components. Both of these values equal to 1/sqrt(2) {one over square-root two}

Cultural Unity (sankalp)

cultural unity

Gain crossover frequency is the frequency at which a system's magnitude is equal to unity, or 1.

Power factor cannot exceed unity!

Gain crossover frequency is the frequency at which a system's magnitude is equal to unity, or 1.

The power factor is defined as the cosine of an angle. (It's the phase angle between voltage and current.) The magnitude of the cosine is never greater than ' 1 '. The theory of Unity Gain states that you cannot get more out than you put in. If the current maximum of a cycle lags (or leads) the voltage maximum by a fraction x of a cycle, then if you think of the situation where the voltage and current are rotating vectors at an angle x degrees apart, then the only useful power is gained by the component of the current which is in phase with the voltage. So, resolve the current vector into two components, one in the direction of the voltage vector, (Icos(x)) and the other component perpendicular the the voltage vector, (Isin(x)). Then the useful power is gotten by multiplying the bits of voltage and current which are in phase: V times I cos(x). So the power obtained is a factor cos(x) down on the value if V and I were in perfect sync. That's why it's called power factor. It is why Power stations don't like inductive or capacitative loads: they have to supply heavy currents that actually deliver no power. Finally, cos(x) never gets above 1.

If it were 1 then there would be no point in having it there!

You would have to know the Power Factor, normally designated PF. MVA x PF = MW. If the PF is unity then MVA = MW. A PF of UNITY suggest the load is purely resistive with neither capacitive nor inductive components in the load or source. Of course this can mean such components have been balanced artificially.

Albany

The work to be done to bring a unit positive charge from infinity to a point in an electric field exists which is having a magnitude unity and direction opposite to the movement of the unit charge.

The symbol of union is typically represented by two interlocking rings or circles, symbolizing the coming together of two entities to form a unity that is greater than the individual parts. It is commonly associated with marriage, partnerships, and unity.