wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If 3a +7b c d =λ a c d +μ b c d , then find the value of λ + μ.

Open in App
Solution

We have3a+7b c d=λ a c d+μb c d3a+7b×c.d=λ a c d+μb c d By definition of scalar triple product3a×c+7b×c .d=λ a c d+μb c d 3a×c.d+7b×c.d=λ a c d+μb c d 3a c d+ 7b c d=λ a c d+μb c d3 a c d+7 b c d=λ a c d+μb c d λa b c=λa b c for any scalar λComparing both sides, we getλ=3 μ=7 λ+ μ=3+7=10

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Substitution Method to Remove Indeterminate Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon