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qUESTIONS

Given v₁ = 5î+2ĵ and v2=aî-6 ĵ are perpendicular to each other, determine the value of a.

Determine the vector product of v = 2î+3ĵ-k̂ and v = î +2ĵ-3k̂.

Determine ā x b̅. given ā =2î+3ĵ and b = 3î+5ĵ

Find a vector which is parallel to v = î – 2ĵ and has a magnitude 10.

For v1= 2î – 3ĵ and v₂= -6î + 5ĵ, determine the magnitude and direction of V1+V2

If v₁ = 3î + 4ĵ + k̂ and v₂ = î – ĵ – k̂, determine the magnitude of v₁ + v2.

Given P = 4î – ĵ + 8k̂ and Q = 2î – mĵ + 4k̂, find m if P and Q have the same direction.

If A = 5î + 6ĵ + 4k̂ and B = 2î – 2ĵ + 3k̂, determine the angle between A and B.

The angular momentum L = r x p, where is a position vector and P is linear momentum of a body. If r = 4î × 6 ĵ – 3k̂ and p = 2î + 4ĵ – 5k̂, find Z

Find the scalar product of the two vectors v₁ = î + 2ĵ + 3k̂ and v2 = 3î + 4ĵ – 5k̂

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