Let the position vectors of two points P and Q be 3𝒊 ̂ - 𝒋 ̂ + 𝟐𝒌 ̂ and 𝒊 ̂ + 𝟐𝒋 ̂ −𝟒𝒌 ̂: Vectors

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Let the position vectors of the points P, Q, R and S be a ⃗= i ̂+2j ̂-5k ̂ , b ⃗=3i ̂+6j ̂+3k ̂, c

Let a ⃗ = i ̂+4j ̂+2k ̂, b ⃗ = 3i ̂-2j ̂+7k ̂ and c ⃗ = 2i ̂+j ̂+4k ̂. Find a vector d......Q227

Let a ⃗=i ̂+2j ̂-3k ̂ and b ⃗=3i ̂-j ̂+2k ̂ be two vectors. Show that the vectors (a ⃗+b ⃗ )....Q170

Show that the points A(-2i ̂+3j ̂+5k ̂ ),B(i ̂+2j ̂+3k ̂ ) and C(7i ̂-k ̂ ) are collinear. ......Q86

Position Vectors and Displacement Vectors - Physics

Find |x ⃗ |, if for a unit vector a ̂,(x ⃗-a ̂ ) .(x ⃗+a ̂ )=15. ........Q155

If the four points, whose position vectors are 𝟑𝒊 ̂ - 𝟒𝒋 ̂ + 𝟐𝒌 ̂, 𝒊 ̂ + 𝟐𝒋 ̂ - 𝒌 ̂, −𝟐𝒊 ̂ - 𝒋 ̂ + 3

If θ is the angle between two vectors i ̂-2j ̂+3k ̂ and 3i ̂-2j ̂+k ̂, sin⁡θ.........Q167