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?

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

• –14i + 4j

• 14i – 4j

• Yes

• No

• There is not enough information

• The vectors are parallel

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

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