Vectors

Question 1

a.

Two non-zero vectors, $a\mathbf{a}$ and $b\mathbf{b}$ , are such that

|\mathbf{a} + \mathbf{b}| = |\mathbf{a}| + |\mathbf{b}|

Explain geometrically the significance of this statement.

[1]

b.

Two different vectors, $m\mathbf{m}$ and $n\mathbf{n}$ , are such that $∣m∣=5|\mathbf{m}| = 5$ and $∣m+n∣=7|\mathbf{m} + \mathbf{n}| = 7$ The angle between vector $m\mathbf{m}$ and vector $n\mathbf{n}$ is $30∘30^{\circ}$

Find the angle between vector $m\mathbf{m}$ and vector $m−n\mathbf{m} - \mathbf{n}$ , giving your answer in degrees to one decimal place.

[4]

Vectors

1

Question 1

a.

Two non-zero vectors, $a\mathbf{a}$ and $b\mathbf{b}$ , are such that

|\mathbf{a} + \mathbf{b}| = |\mathbf{a}| + |\mathbf{b}|

Explain geometrically the significance of this statement.

[1]

b.

Two different vectors, $m\mathbf{m}$ and $n\mathbf{n}$ , are such that $∣m∣=5|\mathbf{m}| = 5$ and $∣m+n∣=7|\mathbf{m} + \mathbf{n}| = 7$ The angle between vector $m\mathbf{m}$ and vector $n\mathbf{n}$ is $30∘30^{\circ}$

Find the angle between vector $m\mathbf{m}$ and vector $m−n\mathbf{m} - \mathbf{n}$ , giving your answer in degrees to one decimal place.

[4]

Vectors

Question 1

Vectors Questions

Vectors

Question 1

Vectors Questions