5. For vectors a and b in R? prove Lagrange's identity:||a x b|l° = ||a||| – (a - b)?6. Check if the two lines given below are coplanar or not:x = 1+t, y = 1+ 2t, z = 3+t and x = 3+ s, y = 2s, z = -2 + s.

Use cross and dot product of vector

5 . For vectors a and b in R² prove Lagrange's identity: ||a x b||? = ||a||*||b|l² – (a - b)? 6. Check if the two lines given below are coplanar or not: x = 1+t, y = 1+ 2t, z = 3+t and x = 3+ s, y = 2s, z = -2 + s.

5 . For vectors a and b in R² prove Lagrange's identity: ||a x b||? = ||a||*||b|l² – (a - b)? 6. Check if the two lines given below are coplanar or not: x = 1+t, y = 1+ 2t, z = 3+t and x = 3+ s, y = 2s, z = -2 + s.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.2: Inner Product Spaces

Problem 87E

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Question

5. For vectors a and b in R? prove Lagrange's identity:
||a x b|l° = ||a||| – (a - b)?
6. Check if the two lines given below are coplanar or not:
x = 1+t, y = 1+ 2t, z = 3+t and x = 3+ s, y = 2s, z = -2 + s.

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