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Vectors and Matrices

5 questions · Chemistry · IIT JAM

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IIT JAM
Chemistry
Vectors and Matrices

Vectors and Matrices

5 questions · Chemistry · IIT JAM

Consider $C = A \times B$ , where $A = 3 \hat{i} - 2 \hat{j} + 5 \hat{k}$ and $B$ , a unit vector in $x y$ -plane, makes an angle of $3 7^{\circ}$ with the $x$ -axis. Projection of $C$ on the $x$ -axis is …2025 · Q42 · Numerical
Consider the following matrices A and B. $A = 1300024000005000006800079 and B = 101200011130000040000015170001618$ …2025 · Q52 · Numerical
For three non-coplanar vectors **a**, **b** and **c**, the expression **a** · (**b** × **c**) can be written as2019 · Q4 · MCQ
A vector $A = i + x j + 3 k$ is rotated through an angle and is also doubled in magnitude resulting in $B = 4 i + (4 x - 2) j + 2 k$ . An acceptable value of $x$ is2018 · Q29 · MCQ
Which one of the following is an identity matrix?2015 · Q9 · MCQ