Question

A vector P has X and Y components of magnitude 2 units and 4 units respectively. A vector Q along negative X-axis has magnitude 6 units. The vector (Q - P) will be ______.

Options

• `4(2hat"i" - hat"j")`

• -`4(2hat"i" - hat"j")`

• `4(2hat"i" + hat"j")`

• `- 4(2hat"i" + hat"j")`

Answer 1

A vector P has X and Y components of magnitude 2 units and 4 units respectively. A vector Q along negative X-axis has magnitude 6 units. The vector (Q - P) will be `underline(- 4(2hat"i" + hat"j"))`.

Explanation:

According to question, vectors P and a can be written as

P = `2hat"i" + 4hat"j"`

and Q = - 6`hat"i"`

∴ Q - P = `- 6hat"i" - (2hat"i" + 4hat"j")`

`= - 8hat"i" - 4hat"j" = - 4(2hat"i" + hat"j")`