What is the value of (hat i+hat j)×(hat ...

What is the value of `(hat i+hat j)×(hat j+hat k).(hat k+hat i)`?

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THREE DIMENSIONAL GEOMETRY
MODERN PUBLICATION|Exercise EXERCISE|40 Videos

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What is the projection of hat i + hat j - hat k upon the vector hat i ?

Find the area of the parallelogram whose adjacent sides are gives by the vectors. 2 hat i + hat j + hat k and 2 hat i + hat j - hat k .

Show that the vectors -hat(i) + hat(j) - hat(k), hat(i) + hat(j) + hat(k) and hat(i) + hat(k) are coplanar.

Prove that the vectors 2hat(i) - hat(j) + hat(k), hat(i) - 3hat(j) - 5hat(k), 3hat(i) - 4hat(j) - 4hat(k) are the sides of a right angled triangle.

MODERN PUBLICATION-VECTOR-EXERCISE

If vec a × vec b = vec b × vec c != 0, Prove that vec a + vec c = m ve...
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Let vec a is any vector than what is the value of (vec a.hat i)hat i+(...
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What is the value of (hat i+hat j)×(hat j+hat k).(hat k+hat i)?
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If vec Avec C and vec Bvec D are the diagonals of the parallelogram AB...
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Find the area of the parallelogram whose adjacent sides are gives by t...
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If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...
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Determine the area of parallelogram whose adjacent sides are the vecto...
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Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).
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Prove that (vec a × vec b).(vec c × vec d) = [[vec a.vec c,vec a.vec d...
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Find a unit vector in direction of vec a-vec b, when vec a = 4 hat i +...
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If vec a and vec b be perpendicular vectors, then prove that (vec a + ...
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Find the value of lambda so that the three vectors are co-planar. (2,-...
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Determine k such that a vector vec(r) is at right angles to each of th...
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Find the scalar and vector projection of veca on vecb. veca = hati+hat...
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Calculate the area of the triangle ABC (by vector method) where A(1,2,...
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Prove that : |veca + vecb|le|veca|+|vecb|.
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Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec...
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If vec(a) and vec(b) are unit vectors, then what is the angle between ...
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Prove by vector method that the diagonals of a parallelogram bisect ea...
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Prove by vector method that in a parallelogram, the line joining a ve...
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