Duration: 5:31

4 views

0

Given two vectors \( \mathbf{a}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+2 \hat{\mathbf{k}} \) and \( \mathbf{b}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}} \)
Match the Column I with Column II and mark the correct option from the codes given below.
\begin{tabular}{llcc}
\hline \multicolumn{1}{c}{ Column I } & \multicolumn{1}{c}{ Column II } \\
\hline A. \( \begin{array}{l}\text { A vector coplanar with a } \\
\text { and } \mathbf{b}\end{array} \) & p. & \( -3 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}} \) \\
\hline B. & \( \begin{array}{l}\text { A vector which is } \\
\text { perpendicular to both a } \\
\text { and } \mathbf{b}\end{array} \) & q. & \( 2 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}} \) \\
\hline \( \begin{array}{l}\text { C. }\end{array} \) & \( \begin{array}{l}\text { A vector which is equally } \\
\text { inclined to a and } \mathbf{b}\end{array} \) & r. & \( \hat{\mathbf{i}}+\hat{\mathbf{j}} \) \\
\hline \( \begin{array}{l}\text { A vector which forms a } \\
\text { triangle with a and } \mathbf{b}\end{array} \) & s. & \( \hat{\mathbf{i}}-\hat{\mathbf{j}}+5 \hat{\mathbf{k}} \) \\
\hline
\end{tabular}
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live