1.Determine the value of a so that vector 𝑨⃗⃗ =(𝟏𝟎𝒊̂+𝟏𝟒𝒋̂−𝟔𝒌̂) is perpendicular to vector 𝑨⃗⃗ =(𝟏/𝟐𝒊̂+𝟏/𝟐𝒋̂+𝒂𝒌̂)
2. A particle covers a distance of (𝟐𝒊̂+𝟑𝒋̂+𝟓𝒌̂) metres in the direction of a constant force of (𝟕𝒊̂+𝟖𝒋̂+𝟑𝒌̂) newtons acting on it. Calculate the work done by the force on this particle.
3. A body moves from position (𝟐𝒊̂+𝟐𝟎𝒋̂−𝟏𝟖𝒌̂) metres to a position
(𝟏𝟔𝒊̂+𝟐𝟒𝒋̂+𝟏𝟓𝒌̂) metres when a force of (𝟒𝒊̂+𝟐𝒋̂+𝟑𝒌̂) newton is applied on it. Calculate the work done on a body.
4. A point of application of a force 𝑭⃗⃗ =(𝟏𝟔𝒊̂+𝟐𝟎𝒋̂+𝟏𝟓𝒌̂) is moved from
𝒓𝟏⃗⃗⃗⃗ =(𝟐𝒊̂+𝟕𝒋̂+𝟐𝒌̂) to 𝒓𝟐⃗⃗⃗⃗ =(𝟓𝒊̂+𝟏𝟐𝒋̂+𝟑𝒌̂). Find the work done.
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"W=F\\Delta r=(16,20,15)\\cdot(3,5,1)=163\\ J"
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