What are the initial velocities of two vehicles after a glancing collision?

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The discussion focuses on calculating the initial velocities of two vehicles involved in a glancing collision. Vehicle A, weighing 1400 kg and initially traveling at 60˚ north of east, ends up moving at 12.13 m/s at 35˚ from its original path. Vehicle B, weighing 1000 kg and initially traveling north, moves at 10.85 m/s at 10˚ from its original path post-collision. The initial velocities were incorrectly calculated as Va=0.58 m/s and Vb=269 m/s, indicating a need for reevaluation of the physics involved in the collision analysis.

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Vehicle A (1400-kg) traveling 60˚ north of east collides with Vehicle B (1000-kg) traveling North. After the collision Vehicle A is moving at 12.13 m/s at 35˚ from its original path. Vehicle B is moving at 10.85 m/s at 10˚ from its original path. Find the initial velocities of both vehicles.

I attached a picture of my work

I attempted this problem, and got Va=0.58m/s and Vb=269m/s
I don't think this answer is right, so I was wondering if someone could help me? Thanks!
 

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Your working and numbers look fine to me.
 

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