Let a⃗ =3iˆ+jˆ−2kˆ,b⃗ =4iˆ+jˆ+7kˆ and c→=iˆ−3jˆ+4kˆ be three vectors. If a vectors p→ satisfies p→×b→=c→×b→ and p→⋅a→=0, then p→⋅(iˆ−jˆ−kˆ) is equal to

Question

Let a⃗ =3iˆ+jˆ−2kˆ,b⃗ =4iˆ+jˆ+7kˆ and c→=iˆ−3jˆ+4kˆ be three vectors. If a vectors p→ satisfies p→×b→=c→×b→ and p→⋅a→=0, then p→⋅(iˆ−jˆ−kˆ) is equal to
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Solution 1

The problem involves vector operations, specifically cross product and dot product. Here are the steps to solve it:

Step 1: Given that p→×b→=c→×b→, we can say that p→ and c→ are in the same direction because the cross product of two vectors is another vector that is perpendicular to the plane conta Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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