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Vector Algebra Part 3

Section: Mathematics
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Question : 49 of 72
 
Marks: +1, -0
Let ‌‌
→
a
=9
^
i
−13
^
j
+25
^
k
,
→
b
=3
^
i
+7
^
j
−13
^
k
‌‌ and
→
c
=17
^
i
−2‌hat‌j+
^
k
 be three given vectors. If
→
r
 is a vector such that
→
r
×
→
a
=(
→
b
+
→
c
)×
→
a
 and
→
r
â‹…(
→
b
−
→
c
)=0, then ‌
|593
→
r
+67
→
a
|2
(593)2
 is equal to ______.
[8 Apr 2024 Shift 1]
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