How do you solve the for the magnitude of 1 vector when you have the components of another vector and the dot product of the 2 vectors?

A°B = -10

B = 3i+10j

|A| = ?

which of the following is an accurate statement?

a) the magnitude of a vector can be positive or negative
b) a vector cannot have zero magnitude if one of its components isnot zero
c) if the magnitude of vector A is less than the magnitude ofvector B, then the x-component of A is less than the x-component ofB
d) the magnitude of a vector can be less than the magnitude of oneof its components

Suppose vector E=2vector A + 3vector B where vector A hascomponents Ax=5, Ay=2 and vector B has components Bx=-3,By=-5.
Express all in ONE SIGNIFICANT FIGURE.

What is the x-components of vector E ?
Ex=

What is the y-components of vector E ?
Ey=

What is the magnitude of vector E ?
abs(vectorE)=

What is the direction of vector ?
Theta= _________ degrees below + x-axes

Q1.15 Can you find a vector quantity that has a magnitude of zero but components that are not zero? Explain. Can the magnitude of a vector be less than the magnitude of any of its components? Explain.