7. Given that a,b and are three vectors whereas is a scalar such that axř=b+ã and a = 2. By using the result axbxc)=(ac)b-(à•b)c i) show that = 2ã –ã xã ii) |ã ₁² If a = i + j-2k and b=27-3j+k, determine the vector and the scalar λ.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. Given that a,b and c are three vectors
whereas is a scalar such that
axř=b+ã and a
= 2.
i)
By using the result
axbxč)=(à c)b-(à•b)c
2ã –ã xã
show that = -
ii)
|ã| ²
If a=i+j-2k and
b=27-3j+k, determine the vector and
the scalar 2.
Transcribed Image Text:7. Given that a,b and c are three vectors whereas is a scalar such that axř=b+ã and a = 2. i) By using the result axbxč)=(à c)b-(à•b)c 2ã –ã xã show that = - ii) |ã| ² If a=i+j-2k and b=27-3j+k, determine the vector and the scalar 2.
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