Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4, find |CDI.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and
c·d = 4, find |CI.
OABC is a rhombus with OÁ = a and OČ = c.
a Express the following vectors in terms of a and c:
i AB
ii OB
iii AČ
b Find OB - AČ.
c Prove that the diagonals of a rhombus intersect at right angles.
Transcribed Image Text:Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4, find |CI. OABC is a rhombus with OÁ = a and OČ = c. a Express the following vectors in terms of a and c: i AB ii OB iii AČ b Find OB - AČ. c Prove that the diagonals of a rhombus intersect at right angles.
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