Given that P = (2, 9) and Q = (4, 14), find the component form and magnitude of vector PQ . (1 point) <2, 5>, square root of twenty nine <-2, -5>, 29 <2, 5>, 29 <-2, -5>, square root of twenty nine

Given:

The two endpoints of a vector are P = (2, 9) and Q = (4, 14).

To find:

The component form and magnitude of vector PQ .

Solution:

A vector is defined as

Where, is the initial point and is the terminal point.

Two endpoints of a vector are P = (2, 9) and Q = (4, 14). So, the vector PQ is

Component form of vector PQ is .

The magnitude of a vector is

The magnitude of vector PQ is:

Therefore, the correct option is A.

3 ft

step-by-step explanation:

since the triangle is right use pythagoras' identity to solve for a

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

a² + 8² = ( )²

a² + 64 = 73 ( subtract 64 from both sides )

a² = 9 ( take the square root of both sides )

a = = 3

-1, -2, -3, -4, -6

step-by-step explanation: