If a ⃗ and b ⃗ are non-collinear vectors such that x_1 a ⃗+y_1 b ⃗=x_2 a ⃗+y_2 b ⃗, then prove......

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If a ⃗ and b ⃗ are non-collinear vectors, find the value of x for which the vectors......Q104If a ⃗ and b ⃗ are non-collinear vectors, find the value of x for which the vectors......Q104
If a ⃗=i ̂-j ̂+7k ̂ and b ⃗=5i ̂-j ̂+λk ̂, then find the value of λ, so that a ⃗+b ⃗ ........Q171If a ⃗=i ̂-j ̂+7k ̂ and b ⃗=5i ̂-j ̂+λk ̂, then find the value of λ, so that a ⃗+b ⃗ ........Q171
If 𝑎 ⃗ and 𝑏 ⃗ are non-collinear vectors, find the value of x for which the vectors......If 𝑎 ⃗ and 𝑏 ⃗ are non-collinear vectors, find the value of x for which the vectors......
If `a\\ a n d\\ b` ar non collinear vector such that `x_1 vec a+y_1 vec b=x_2 vec a+y_2 vec b` ,...If `a\\ a n d\\ b` ar non collinear vector such that `x_1 vec a+y_1 vec b=x_2 vec a+y_2 vec b` ,...
If a ⃗=i ̂+j ̂+k ̂ and b ⃗=j ̂-k ̂, find a vector c ⃗, such that a ⃗×c ⃗=b ⃗ and a ⃗⋅ c ⃗=3.If a ⃗=i ̂+j ̂+k ̂ and b ⃗=j ̂-k ̂, find a vector c ⃗, such that a ⃗×c ⃗=b ⃗ and a ⃗⋅ c ⃗=3.
If a ⃗ and b ⃗ are the position vectors of A and B respectively, find the position vector of a......If a ⃗ and b ⃗ are the position vectors of A and B respectively, find the position vector of a......
Let a ⃗=i ̂+2j ̂-3k ̂ and b ⃗=3i ̂-j ̂+2k ̂ be two vectors. Show that the vectors (a ⃗+b ⃗ )....Q170Let a ⃗=i ̂+2j ̂-3k ̂ and b ⃗=3i ̂-j ̂+2k ̂ be two vectors. Show that the vectors (a ⃗+b ⃗ )....Q170
Let a ⃗ and b ⃗ be two vectors such that |b ⃗|=1 and |b ⃗×a ⃗|=2. Then |(b ⃗×a ⃗)-b ⃗|^2 is equal toLet a ⃗ and b ⃗ be two vectors such that |b ⃗|=1 and |b ⃗×a ⃗|=2. Then |(b ⃗×a ⃗)-b ⃗|^2 is equal to