Explore topic-wise MCQs in Mathematics.

This section includes 3 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If \(\vec{a}\)=9\(\hat{i}\)-2\(\hat{j}\)+7\(\hat{k}\), \(\vec{b}\)=5\(\hat{i}\)+\(\hat{j}\)-3\(\hat{k}\), find \(\vec{a}+\vec{b}\).

A. \(\hat{i}\)–\(\hat{j}\)+4\(\hat{k}\)
B. 14\(\hat{i}\)–\(\hat{j}\)+4\(\hat{k}\)
C. 14\(\hat{i}\)-3\(\hat{j}\)+4\(\hat{k}\)
D. 14\(\hat{i}\)–\(\hat{j}\)+9\(\hat{k}\)
Answer» C. 14\(\hat{i}\)-3\(\hat{j}\)+4\(\hat{k}\)
Discussion
2.

Find vector \(\vec{c}\), if \(\vec{a}\)–\(\vec{b}\)+\(\vec{c}\)=6\(\hat{i}\)+8\(\hat{j}\) where \(\vec{a}\)=7\(\hat{i}\)+2\(\hat{j}\) and \(\vec{b}\)=4\(\hat{i}\)-5\(\hat{j}\).

A. -3\(\hat{i}\)+\(\hat{j}\)
B. 3\(\hat{i}\)+\(\hat{j}\)
C. 3\(\hat{i}\)–\(\hat{j}\)
D. -3\(\hat{i}\)–\(\hat{j}\)
Answer» C. 3\(\hat{i}\)–\(\hat{j}\)
Discussion
3.

If \(\vec{a}\)=\(\hat{i}\)+4\(\hat{j}\) and \(\vec{b}\)=3\(\hat{i}\)-3\(\hat{j}\). Find the magnitude of \(\vec{a}+\vec{b}\).

A. \(\sqrt{6}\)
B. \(\sqrt{11}\)
C. \(\sqrt{5}\)
D. \(\sqrt{17}\)
Answer» E.
Discussion