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ConceptVectors Examples and Solutions

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#### Question

Write the value of `vec a .(vecb xxveca)`

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A line passing through the point A with position vector `veca=4hati+2hatj+2hatk` is parallel to the vector `vecb=2hati+3hatj+6hatk` . Find the length of the perpendicular drawn on this line from a point P with vector `vecr_1=hati+2hatj+3hatk`

If `veca=hati+2hatj-hatk, vecb=2hati+hatj+hatk and vecc=5hati-4hatj+3hatk` then find the value of `(veca+vecb).vec c`

if `|vecaxxvecb|^2+|veca.vecb|^2=400 ` then write the value of `|vecb|`

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Find x such that the four points A(4, 1, 2), B(5, x, 6) , C(5, 1, -1) and D(7, 4, 0) are coplanar.

#### Reference Material

Solution for concept: Vectors Examples and Solutions. For the courses 12th CBSE (Arts), 12th CBSE (Commerce), 12th CBSE (Science)