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The vector with terminal point A (2, – 3, 5) and initial point B (3, – 4, 7) is :
The position vectors of vertices of △ ABC are A(2î – ĵ + k̂), B(î – 3ĵ – 5k̂) and C(3î – 4ĵ – 4k̂). Find all the angles of △ ABC.
Assertion (A) : The vectors a⃗ = 6î + 2ĵ − 8k̂, b⃗ = 10î − 2ĵ − 6k̂ and c⃗ = 4î − 4ĵ + 2k̂ represent the sides of a right angled triangle. Reason (R) : Three non-zero vectors of which none of two are collinear forms a triangle if their resultant is zero vector or sum of any two vectors is equal to the third.
Find all the vectors of magnitude 3√3 which are collinear to vector î + ĵ + k̂.
In △ABC, AB→ = î + ĵ + 2k̂ and AC→ = 3î − ĵ + 4k̂. If D is mid-point of BC, then vector AD→ is equal to :
Two vectors a→ = a₁î + a₂ĵ + a₃k̂ and b→ = b₁î + b₂ĵ + b₃k̂ are collinear if
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