Vectors

The vectors a = 2i + mj and b = m²i – j are perpendicular for

The diagram shows a rhombus, spanned by two vectors a and b .

Which of the following must be true?

The diagram shows a grid of equally spaced lines. The vector $$\overrightarrow{OA}=$$ a and the vector $$\overrightarrow{OH}=$$ h . The point $$Q$$ is halfway between $$F$$ and $$H.$$  

Which expression represents the vector $$\overrightarrow{EQ}\ ?$$  

A ship sailed 122 km from port 𝐴 to port 𝐵 on a bearing of $$072\degree$$ T, then it sailed 91 km from port 𝐵 to port 𝐶 on a bearing of $$142\degree$$ T. Using a diagram showing the displacement vector $$\overrightarrow{𝐴𝐶},$$ what is the magnitude and direction of $$\overrightarrow{AC}\ ?$$

If a = –7i + 2j , what does |2a | equal?

A vector has direction of $$-60\degree$$ with magnitude of $$6$$  units.

How can this vector be represented?

What is the component of a = 2i + j , in the direction of b = i – 3j ?