Find a unit vector perpendicular to both the vectors \overrightarrow{a} and \overrightarrow{b}, where \overrightarrow{a}=\stackrel{\^}{i}-7 \stackrel{\^}{j}+7 \stackrel{\^}{k} and \overrightarrow{b}=3 \stackrel{\^}{i}-2 \stackrel{\^}{j}+2 \stackrel{\^}{k}. OR Show that the vectors \stackrel{\^}{i}-2 \stackrel{\^}{j}+3 \stackrel{\^}{k},-2 \stackrel{\^}{i}+3 \stackrel{\^}{j}-4 \stackrel{\^}{k} and \stackrel{\^}{i}-3 \stackrel{\^}{j}+5 \stackrel{\^}{k} are coplanar.

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 10 of 29

Marks: +1, -0

Find a unit vector perpendicular to both the vectors

{a}↖{→}

and

{b}↖{→}

, where

{a}↖{→}={i}↖{\^}-7 {j}↖{\^}+7 {k}↖{\^}

and

{b}↖{→}=3 {i}↖{\^}-2 {j}↖{\^}+2 {k}↖{\^}

.
OR
Show that the vectors

{i}↖{\^}-2 {j}↖{\^}+3 {k}↖{\^},-2 {i}↖{\^}+3 {j}↖{\^}-4 {k}↖{\^}

and

{i}↖{\^}-3 {j}↖{\^}+5 {k}↖{\^}

are coplanar.

Solution:

Go to Question:

Prev Question

Next Question