If the sum of two unit vectors is a unit vector, prove that the magnitude of their difference is \sqrt{3}. OR If \overrightarrow{a}=2 \stackrel{\^}{i}+3 \stackrel{\^}{j}+\stackrel{\^}{k}, \overrightarrow{b}=\stackrel{\^}{i}-2 \stackrel{\^}{j}+\stackrel{\^}{k} and \overrightarrow{c}=-3 \stackrel{\^}{i}+\stackrel{\^}{j}+2 \stackrel{\^}{k}, find [\overrightarrow{a} \overrightarrow{b} \overrightarrow{c}]

CBSE Class 12 Math 2019 Delhi Set 1 Solved Paper - Question 10

Question : 10 of 29

Marks: +1, -0

If the sum of two unit vectors is a unit vector, prove that the magnitude of their difference is

{√{3}}

.
OR
If

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

and

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

, find

[{a}↖{→} {b}↖{→} {c}↖{→}]

Solution:

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