Attend live Mathematics sessions on Nagwa Classes to learn more about this topic from an expert teacher!

Given that 𝐀 = 〈−3, −5〉, express the vector 𝐀 in terms of the unit vectors 𝐢 and 𝐣.

Given that vector 𝐀 is equal to negative three, negative five, express the vector 𝐀 in terms of the unit vectors 𝐢 and 𝐣.

When dealing with vectors in two dimensions, we recall that the unit vectors 𝐢 and 𝐣 are vectors of length one in the directions 𝑜𝑥 and 𝑜𝑦, respectively. This means that if point 𝑃 has coordinates 𝑥, 𝑦, then vector 𝐏 is equal to 𝑥𝐢 plus 𝑦𝐣. In this question, we are told that vector 𝐀 is equal to negative three, negative five. This means that 𝑥 is equal to negative three and 𝑦 is equal to negative five. Vector 𝐀 written in terms of its unit vectors 𝐢 and 𝐣 is equal to negative three 𝐢 minus five 𝐣.

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy